The England and Wales Cricket Board (ECB) confirmed Silverwood, who was already due to miss the fourth Test, had joined the number of positive cases in and around the team camp.
It emerged after the Melbourne Boxing Day Test that a member of Silverwood's family had tested positive.
That set up the possibility that Silverwood himself may have come into sufficiently close contact to be infected.
Silverwood was forced to isolate, ruling him out of the Sydney Cricket Ground clash with Australia, which begins Down Under on Wednesday. Now, a positive test means he must wait to rejoin the team.
England are expecting him to be available again to take the reins for the series closer in Hobart, starting on January 14. In the meantime, batting coach Graham Thorpe is stepping up to direct team operations.
In a widely reported statement, the ECB said: "England men's head coach Chris Silverwood has tested positive for COVID-19.
"Silverwood has been isolating in Melbourne since December 30 following a positive test from one of his family members. He will remain in isolation until January 8.
"Silverwood is asymptomatic and is fully vaccinated. He is expected to return to the England party in Hobart ahead of the fifth Ashes Test."
The news comes after England great Graham Gooch expressed dismay at England's inability to be competitive in Australia.
They have already lost the series, after suffering heavy defeats in Brisbane, Adelaide and Melbourne, with Silverwood's position coming under scrutiny.
Speaking to Stats Perform, former captain and opener Gooch said: "I'm bitterly disappointed because losing a Test match is one thing, losing a series is one thing.
"But, what's really concerning for me is the lack of competitiveness of our team against Australia not only in the match at Melbourne, but in the previous two matches.
"They've outplayed us, out-batted, out-bowled and out-fielded us in all three Tests, in most of the sessions.
"We've had a couple of half sessions, which we've done well with Joe Root and Dawid Malan scoring a few runs, Jimmy Anderson bowling a brilliant spell to help England dismiss Australia at the MCG for 267. But apart from that, we've been lacking."
The hosts posted a mammoth first-innings declaration total of 473-9 at the Adelaide Oval after Smith had stepped up as stand-in captain, following new Test skipper Pat Cummins coming into close contact with a positive COVID-19 case last Wednesday.
England could only muster 236 in response, despite 80 and 62 from Dawid Malan and captain Joe Root respectively, with Starc taking 4-37 from his 16 overs – only Nathan Lyon went at a lower economy (2.07).
Australia were again able to declare in the second innings, setting England an improbable 468 to win, before tearing through the tourists to leave six wickets required for victory on the final day.
Jos Buttler battled hard during a 207-ball stint but fell in unusual circumstances as he trod on his stumps going back to Starc, before Jhye Richardson fittingly sealed victory to complete his maiden five-wicket Test haul by removing James Anderson.
While Richardson managed a final-innings 5-42, Smith reserved special praise for Starc – who boasted 7-80 after two wickets in the second innings.
"Mitchell Starc bowled as well as he has for a long time, he led this attack well," Smith told reporters at the post-match presentation.
"He summed it up quickly that there wasn't a great deal of swing so he just wanted to bash a good length and hit some good areas - he did that as well as he has in his career.
"He looked in really good rhythm and I'm incredibly proud of the way he went about his business."
Australia have now won each of their last nine pink-ball Test matches, the only side with a perfect 100 per cent winning record, while England are winless in their last four day-night fixtures since last defeating West Indies in August 2017.
Smith, who fell seven short of a century in the first innings, was captaining for the first time since the 2018 ball-tampering scandal in Newlands and enjoyed his return to the helm, while hailing the performance of some England batters.
He added: "We weren't nervous. They showed some good resistance and fight. Jos played extremely well - it was an innings we haven't seen from him before, he's usually a bit of a dasher. He showed good fight, as well as [Chris] Woakes and [Ollie] Robinson.
"We felt there was time left and all it would take was a couple of good balls.
"I had fun this week as captain and did enjoy it. The guys played really well. We were able to control the game from the first day as Marnus [Labuschagne] and Davey [Warner] set it up with their partnership.
"So we were able to declare when we wanted and bowl where we wanted to bowl."
Australia captain Cummins was force to sit out the match at Adelaide Oval after the paceman was deemed to be a close contact with a positive coronavirus case at a restaurant.
Fellow fast bowler Starc and spinner Lyon dined at the same establishment, but were considered to be casual contacts with the person who had the virus.
Starc took 4-37 and Lyon claimed 3-58 as England meekly collapsed from 150-2 to 236 on day three in reply to 473-9 declared. Australia then closed in complete command on 45-1 in their second innings - leading by 282 runs.
Left-arm quick Starc revealed it could have been a very different story if Cummins had replied to his text message.
He said: "It was just fortunate we were sitting outside. It was almost a bit of a p***-take because Pat didn't reply to my message so thought we'd sit away from him and sit outside so it's been a lucky one."
Starc says he did not lose any sleep fretting over whether dining out could have cost him another chance to exploit England's vulnerable batting line-up in a match Josh Hazlewood was ruled out of due to a side strain.
"Spinner [Lyon] didn't sleep. I slept quite fine, there wasn't much I could do about it after," he said.
It was revealed on Saturday that both sides will face stricter protocols for the Melbourne and Sydney Tests due to a rise in COVID-19 cases.
Players can only follow Starc and Lyon's lead and dine outside, while they must also socially distance with members of the public.
Cricket Australia chief executive Nick Hockley told SEN radio: "We need to make sure there's social distancing, so we ask everyone to be respectful in the public.
"That's the real shame because what we have seen is players wanting to interact with fans. That's been a feature of the Big Bash. But we've now got very clear protocols.
"As it comes to those on the field of play we need to make sure that people are operating in a really biosecure way."
Australia and England will resume hostilities in the final Ashes Test starting on Friday in Hobart with the hosts 3-0 up after the Sydney Test ended as a draw on Sunday.
Starc has impressed during this series with 15 wickets from four matches, behind only spinner Nathan Lyon (16), at an average of 26.6. He has also been commendable with the bat, contributing 151 runs at 75.5.
Jhye Richardson and Michael Neser are in contention after unluckily losing their spots following good displays in the second Test in Adelaide while Scott Boland is likely to be available despite hurting his ribs in Sydney, but Josh Hazlewood has been ruled out due to his ongoing side injury.
Left-armer Starc has bowled the most overs of any quick in the series, clocking up 134.1 overs but brushed aside speculation of a rest.
"It's purely up to the selectors. I'm not looking for a break," Starc told reporters on Wednesday.
"It's the last Test match of an Ashes series at home. It's the pink ball too. I'd very much like to play.
"It's in the hands of the selectors. I won't be asking for a rest."
Starc's ability to swing the pink ball makes him an enticing prospect for the day-night Test, which will be the first ever played in Hobart.
The 31-year-old paceman took 37-4 and 43-2 across both innings with the pink ball in the day-night Adelaide Test last month.
"I think we saw in Adelaide the pink ball didn’t swing anywhere near as much as we've seen in the past," Starc said.
"It's likely going to be very different in Hobart. I've not played with a pink ball here. We'll have to have a look at the wicket and see what that's like. There's a number of factors [on selection].
"We'll be trying to carry on the plan of attack that we had in Adelaide and hopefully that's a positive result for us here this week."
Starc, whose selection for Australia came under some scrutiny, dismissed Rory Burns with the very first ball of the series at the Gabba on Wednesday, setting the tone for a dismal day for the tourists.
New captain Pat Cummins took 5-38 as Australia dominated, with bad light and rain preventing the hosts from starting their chase after tea.
On a green pitch in overcast conditions, Australia's bowling attack thrived, and it seemed the ideal situation in which Broad and Anderson, who have played 315 Tests between them, would have been at their best.
However, neither bowler was selected in the team for the first Test, so the tourists went into the match without pace bowlers who have collected a combined 1,156 Test wickets.
"I'm not sure if you told anyone a couple of days ago that was going to happen that they would have believed you," Starc, who finished with figures of 2-35, told reporters.
"To take 300 Test matches and 1,000 wickets out of their side is pretty interesting.
"I'm glad I don't have to pick any sides, let alone that one, or tap those two on the shoulder and let them know they're not playing."
Starc's comments might have rubbed salt into Joe Root's wounds - the England captain having elected to bat after winning the toss.
Ollie Pope was one of just two batsmen to make it above 30, along with Jos Buttler, and while conceding the odds are already stacked against England, he believes all is not lost.
"It was a disappointing start especially, so there was frustration that we haven't been able to put on the big score we wanted," Pope told a news conference.
"The pitch did offer a fair bit early, especially off the seam so we are frustrated as a unit. It's a long tour, a long series and we're going to keep the spirits high and come out fighting tomorrow.
"Looking at the wicket, it did offer today and wasn't the easiest to score on. You don't know with wickets until both teams have batted on them. I think this pitch gets quicker and keeps carrying.
"It was quite tacky so it made some dents in the middle of the wicket. It'll be interesting if that opens up. We've definitely got the skill set in our bowlers to drag it back and go big second dig."
Star all-rounder Stokes has already confirmed in his column for The Mirror that he will not be able to bowl in the day-night Test in Hobart having suffered a "low grade tear" in his side during the gritty draw in Sydney that ensured Australia cannot secure a 5-0 series whitewash.
Jonny Bairstow scored a gutsy first-innings century in that match but was forced to play through the pain barrier after receiving a hefty blow on the thumb from Pat Cummins, an injury that meant he could not regain the gloves from Jos Buttler, who has travelled home with a broken thumb, in the second innings.
Captain Root said both men will be assessed over the next couple of days before a decision is made.
"We've got to just see where they're at over the next couple of days, see what their bodies can handle and then assess from there," Root told a news conference on Wednesday.
"Certainly you can pick Ben as a bat, Jonny too. We have to see where they are at, what their bodies can handle.
"You have to trust the medical advice. Those guys work tirelessly to make sure we are in the best possible position to go and win games and sometimes that is making some difficult calls.
"I think they need to make sure they feel like they're physically in a place where they can get through five days of hard cricket, whatever Australia throw at them, and they're in a position where they can go out and play and firstly, get through the game, but also, most importantly put in a performance as they managed to last week as well.
"It's alright being fit to play but you've got to be fit to perform and I think that's what we've got to work out."
Stokes made two half centuries in Sydney, while Bairstow made a hard-earned 41 in the second to add to his century with both men proving crucial as England bravely fought for a draw after being heavily beaten in each of the first three Tests.
England were still largely outplayed by the hosts and had to dig deep to avoid defeat. Root wants to see the same kind of guts throughout the duration of the contest in Hobart.
"On the back of three very difficult games where we underperformed, to come back and get something from the last game showed a great amount of character," he added.
"There was an element of relief managing to get through those last few overs but the desire, the fight and the pride that everyone showed on that last day is something we have to harness.
"We have to play like that more frequently through the five days, not just on the last day when everything is on the line, but from ball one. We've proved to ourselves that we can do it, now can we take it a step further?
"Can we make sure we do it in a winning cause rather than just trying to save a Test match? We have something to build on – that’s what we have to take from the last game and into this one."
Root replaced Alastair Cook as England's full-time Test captain in early 2017 but has come under scrutiny with the side losing the Ashes in lopsided fashion.
The 31-year-old batsman was also in charge when England lost 4-0 to Ashes in 2017-18 and failed to win back the urn on home soil in 2019 with a 2-2 series draw.
Stokes looms as Root's obvious replacement as the side's vice-captain and arguably the only lock in England's best XI but he dismissed the role was on his radar.
"I've never really had an ambition to be a captain," Stokes said. "Captaincy is more than about setting fields, picking the team, making decisions out there in the middle.
"A captain is someone you want to go out and play for. Joe Root is someone I always want to play for.
"It's totally Joe's decision. He shouldn't be forced into doing it. I'm sure Cooky felt the same way. He did it for so long and when he knew his time was up, his time was up. Those discussions haven't entered anywhere near Joe yet.
"I don't sense that at all with Joe. He's brought this team a long way. He's done some great things. Obviously this series hasn't gone too well, not from a captaincy point of view, but from a team and results point of view."
Stokes, who has only managed 101 runs at 16.83 and four wickets at 62.25 this series, threw his support behind under-fire coach Chris Silverwood.
"Unfortunately, the captain and coach bear the scrutiny for [results], but there are 10 other guys out there in the field," he said.
"That's [the media's] job, to say, 'Should people step down?' At the end of the day, the most important people's opinions are those guys in the dressing room and they've got our thorough support.
"Chris Silverwood, exactly the same. He's a real players' coach. He stands up for you as individuals and players as well.
"All the hype in the media recently about their futures, it's your job to write that, but they know full well they have the support of everyone in there and that's all that matters."
The fourth Ashes Test starts in Sydney on Wednesday.
The hosts, captained by Steve Smith in the absence of Pat Cummins, had ended the opening day on 221-2 and ensured England toiled further on day two as the tourists were stuck in the field for 150 overs overall in Adelaide.
Australia eventually declared on 473-9 on Friday, after Marnus Labuschagne (103) had completed his first Ashes century and Smith had crafted an excellent 93 of his own.
The mammoth total was aided by Alex Carey's 51, while Mitchell Starc (39 not out) and debutant Michael Neser (35) enjoyed lower-order cameos as they bludgeoned Joe Root's bowlers around the park.
England lost openers Rory Burns and Haseeb Hameed in the first seven overs in response, before play was abandoned due to a lightning storm looming over the Adelaide Oval with Root's side 17-2.
But star all-rounder Stokes, who ran himself into the ground for his 3-113 from 25 overs, insisted his side are not already beaten heading into Saturday's third day.
"We know that tomorrow is going to be a good day for batting," Stokes told BBC's Test Match Special.
"Losing two wickets is not ideal, but tomorrow is a new day. We'll park everything, just like we parked the result in Brisbane.
"We don't believe we're beaten already."
Indeed, Stokes made an early comeback to feature in the Ashes touring party, after initially taking a break from cricket to allow his finger injury to heal and to prioritise his mental wellbeing.
While things have not gone to plan so far for the 30-year-old or England, Stokes believes his decision to play has already been justified and is by far worthwhile.
Asked by reporters whether he had enjoyed his return so far, Stokes said: "Yes. I've loved every minute of it.
"If you don't feel sore getting up in the morning, you've probably not done what's required of you. You've just got to love the dirt when you get that deep in the game and understand what you're playing for.
"We've seen a lot of the support we've been getting on social media from everyone back in England, and the guys who have been supporting us here in Australia have been absolutely phenomenal.
"It's incredible wherever we go. You hear them even though they're outnumbered, and there are people who are staying up through the middle of the night to watch us from afar in the bars and stuff.
"That's incredible to see. Obviously, the first Test didn't go well and Australia are ahead at the moment, but we know back home we'll be getting as much support as we always do and for us it's about letting them know we really appreciate it."
Another difficult session for the tourists, who have already lost the series after Australia won the first three matches, saw the hosts move to 209-3 as Steve Smith and Usman Khawaja built a partnership of 92.
Khawaja was dropped by Joe Root as England went wicket-less in the first session at the Sydney Cricket Ground, but a more worrying sight came when Stokes went off clutching his side after sending down a series of short balls.
And England subsequently released an update during lunch that confirmed he was being treated for left side tightness and "would be assessed over the next hour".
Stokes, who returned to the side for the series after taking a break to protect his mental well-being, has scored 101 runs with the bat at an average of 16.83. With the ball, the all-rounder has taken four wickets.
England have been outclassed in the opening two Tests, suffering a 275-run defeat in Adelaide after a nine-wicket beating in Brisbane.
The tourists are without a win in 12 Tests in Australia – their joint-longest such run Down Under (also 12 between January 1937 to February 1951).
The third Test starts on Boxing Day at the MCG, with bowler Mark Wood revealing England have held "brutally honest" meetings before Saturday after disappointment last week.
Captain Joe Root also provided a scathing post-match summary of his bowlers repeating mistakes from four years ago and needing to be braver with their lengths, and batsman Malan knows it is now time for England to right their wrongs as they look to keep their hopes of regaining the urn alive.
"We've done a lot of talking," Malan told reporters. "When you lose there'll always be reports that people are at each other. There definitely isn't.
"One of the things we've been doing this series is a lot of chat amongst the players and encouraging players to challenge each other on a lot of things.
"We've had good discussions with the coaching staff and without the coaching staff. It's vitally important that we as players take responsibility.
"Ultimately we are the ones who walk onto the field. We get all the preparation and all the knowledge we need, it's up to us to put it in place. We haven't done that well enough.
"When we have those honest chats as players we feel we learn a lot more. Now it's about not talking any more, it's about putting it into play."
Malan has been one of England's standout performers so far, scoring 188 runs at an average of 47, with Root (175 at an average of 43.75) in close company.
However, England's next-best batter is all-rounder Chris Woakes (105), with the trio the only players to accumulate more than 100 runs from the first two Tests.
"Everyone is up for the challenge, everyone is really keen to face up to Australia," Malan added.
"We do it in white-ball cricket, we take them on, so hopefully we can get that mindset and not go into our shells and just try to survive, take the game to them.
"We are almost learning in Test matches because we haven't had that preparation. A lot of the guys haven't played in Australia so are trying to find ways of facing bowlers they haven't faced before but also to get used to bounce here.
"I know there's a lead-up to dismissals and how bowlers set you up, but a lot of our dismissals were probably soft in the sense that we could have left them. You still have to score, but it's about making the right choices under pressure, myself included.
"If you look at the way they have batted, the ones who have done really well, they've left really well so it's a good learning curve for us. Hopefully it's not too late."
Warner was in doubt for the blockbuster day-night showdown at Adelaide Oval, starting Thursday, after the opener did not bat or field in the second innings of Australia's nine-wicket rout of England in Brisbane last week.
But Warner – who scored 94 runs in the opening innings of the first Test – has been declared fit to play after Australia captain Pat Cummins confirmed his XI on Wednesday.
"He'll be right," Cummins told reporters. "He had a bat yesterday, batted with a bit of discomfort but knowing Davey, he's not going to miss this one. Once adrenaline and everything kicks in, [he'll be] a little bit sore but he'll be fine.
"It's one thing batting in the nets but another thing when you walk out and it's a packed crowd. I don't think he had any kind of painkillers or anything yesterday.
"He's played close to 90 Tests, I'm sure a lot of them have been played in discomfort or with [niggles] going into the game. He'll be fine tomorrow."
Meanwhile, Jhye Richardson will make his international return for Australia after replacing injured paceman Josh Hazlewood (side strain) – the only change to the starting XI.
Richardson got the nod ahead of Michael Neser for the pink-ball Test, having not featured for Australia in cricket's longest format since his debut in 2019.
The Australia attack will be licking their lips at the prospect of doing more damage with the pink ball, where they will be hunting what would be a sixth win in seven matches in the longest format in Adelaide.
No side has a better record than Australia's eight out of eight in day-night Tests, while England have lost three day-nighters out of four and their only victory was against West Indies in 2017.
Australia XI: Marcus Harris, David Warner, Marnus Labuschagne, Steve Smith, Travis Head, Cameron Green, Alex Carey, Pat Cummins (c), Jhye Richardson, Mitchell Starc, Nathan Lyon.
England were dismissed for only 147 on day one, and Australia put themselves into a commanding 196-run lead on Thursday.
Head (112 not out) scored the third-fastest Ashes century - reaching three figures off only 85 balls - to take Pat Cummins' team onto 343-7 at stumps in Brisbane.
Warner made an impressive 94 after being given a few lives, putting on 156 for the second wicket with Marnus Labuschagne (74) to put Australia in a strong position.
Labuschagne has now scored four half-centuries from five Test innings at the Gabba, with Warner having struck over 50 as an opener for a sixth time at the venue, with only Mark Taylor (eight) doing so on more occasions.
Speaking to Fox Sports, Warner said: "They did bowl well, didn't they? They were relentless.
"What an entertaining innings by Travis Head. We've got smiles on our faces. It's got to be up there for him personally. It was a tight battle with him and Uzzie [Usman Khawaja] but to come out the way he did... that's the Travis Head we know."
Warner's first near-miss came early on, when Ben Stokes bowled him but the all-rounder over-stepped.
"Obviously getting bowled off a no-ball - you've got to try and keep your feet behind the line as a bowler," Warner added.
"I thought I left very well. Everyone was talking about my form in the T20 stuff but when you're out of runs you deserve some luck."
Ollie Robinson was the pick of England's bowlers with 3-48, and the paceman felt his eventual dismissal of Warner had been a long time coming.
"I sort of felt like I was going to get him out every over to be honest," Robinson told Fox Sports.
"He left well in periods but I think he played at a lot of balls he could have left. So hopefully throughout the series I can get his number a bit earlier."
Reflecting on chances going down in the field, with Rory Burns' routine drop from a Warner edge a particular low point, Robinson added: "We did miss opportunities early on but on another day we could have had three or four early.
"It came out well. It felt like I was consistent and had a lot of play and misses. The closest thing we have [to the Gabba] is Headingley. It's nice to get that bit of extra bounce as a tall guy."
Robinson did pull up with an apparent hamstring issue, but revealed it was only a minor problem.
"It's okay," he said. "I came off for a bit of strapping, bit of maintenance but it's alright, rest up tonight and go again tomorrow."
The Australia batter, who has twice come close to a century amid a dominant series for the hosts, was removed for 30 by the returning Broad on day one of the fourth Test.
Australia, who lead 3-0, closed on 126-3 at the SCG after only 46.5 overs of play were possible due to rain.
Broad had been left out of two of the first three matches and this week expressed his frustration over England's failure given he has "not really done anything" and missed the chance to play on favourable pitches.
Another veteran England bowler, James Anderson, who missed the first Test earlier in the series, also struck on Wednesday, removing Marcus Harris for 38.
And Warner suggested Australia are glad to be up against two of the world's top bowlers.
"I really enjoy giving you guys a good story, which is fantastic and it builds up the game," Warner said of his duels with Broad, who had him caught by Zak Crawley.
"Me and Broady love it when we're out there. It's good fun, good funny banter.
"I tried to drive the ball too straight, that was my disappointment, but it's awesome to see Broady back out there.
"He's a world-class bowler. Him and Jimmy Anderson bowling at us is great.
"Obviously, they would have been disappointed with some of these Test matches, not playing together, but that's for their selection panel.
"It's great to come up against the world's best from England."
Mark Wood removed Marnus Labuschagne (28) before the close as Australia struggled to build on a strong start that had seen them reach 111-1.
It means Steve Smith (6 not out) and Usman Khawaja (4no) will be under pressure when they return to the crease on Thursday.
England are looking to avoid a 5-0 whitewash, a fate they have suffered twice in Australia since the turn of the century.
Amid their struggles, former England batsman Rob Key cannot comprehend why Broad has not been a regular.
He told Sky Sports: "You absolutely have bogey bowlers. I had about 18!
"For David Warner, it is Broad - which makes it even more ridiculous that Broad did not play that first Test in Brisbane.
"Warner would have been sat there thinking, 'I could really do without facing this bloke'.
"All Warner's preparation would have been about how he was going to combat and defeat Broad and score runs against him – and then England don't pick him! This just shows how poor a decision that was.
"Now Broad has ended up playing on the two pitches so far with the least amount of movement and missed out on the two pitches that would have done a lot for him."
The 35-year-old left-handed batsman has defied his age with the third most runs in this Ashes series after being Player of the Series as Australia lifted last month's T20 World Cup.
Warner was part of losing Australian touring Ashes parties in 2013 and 2015 and was tormented by Stuart Broad in 2019 when he was dismissed by the seamer seven times in 10 knocks, managing only 95 runs across the series which finished 2-2 with the visitors retaining the urn.
"James Anderson sets the benchmark for older guys these days, we look up to him getting on in our days," Warner told reporters.
"Winning the Ashes here was obviously a big one. We still haven't beaten India in India, that would be nice to do.
"And England away, we had a drawn series but hopefully if I manage to get that opportunity, I might think about going back."
The 89-Test veteran has scored 7,551 runs with 24 centuries but battled during the 2019 Ashes in England.
"In terms of 2019, it was obviously in England so he [Broad] was able to get the ball to come back into us and away from us," Warner said.
"For me it was one of those tours where I didn’t back my game plan and I went too defensive, and I didn’t attack. That was my fault, and he bowled really well.
"Out here, they have obviously picked Ollie Robinson for a reason... he’s averaging 21 with the ball, he’s had some success in England, he bowls a good line and length. I wouldn’t say I was surprised, they’ve done it before in Australia.
"They haven’t played both of them [Broad and James Anderson] too often here – you might see him [Broad] play next game, and maybe Jimmy misses it. I can’t worry what they’re doing, but from our perspective I think it’s great he [Broad] is not playing."
Warner also backed under-pressure opening partner Marcus Harris who scored a game-high 76 in the third Test at the MCG after managing only 38 runs in his previous four innings.
“His courage to keep fighting and working ways out to score runs when bowlers are bowling good lines and lengths, he fought it out really well and I’m really pleased for him," Warner said.
Australia closed on 126-3 after Pat Cummins won the toss and elected to bat first at the Sydney Cricket Ground on Wednesday.
Only 46.5 overs were bowled due to poor weather, with rain preventing England from making further inroads.
Stuart Broad got rid of David Warner (30) for the 13th time in the longest format and James Anderson had Marcus Harris (38) caught by Joe Root in the slips before Labuschagne edged Wood through to Jos Buttler.
England fast bowler Wood hopes he can claim the scalp of Labuschagne time and again after sending the top-ranked Test batter in the world on his way for 28.
The paceman said: "I'm delighted to get Marnus because he's a top player. I know we've had this bowl fuller thing but I think we have to hit the wicket hard and make them play as much as we can.
"Thankfully I made Marnus play, it wasn't an easy ball to leave, and he managed to edge it.
"I'd love to have a Broad v Warner thing with him. Anybody would love that when they think they've got a chance to get someone out.
"The ball before, Marnus hit me for four so I just tried to zone in a bit more. I knew the ball before was loose but I got this one spot on.
"You want to test yourself against the best players. I've been a bit frustrated in that I've felt in good rhythm and have been bowling well in this series without getting the wickets I would have liked but to get big players like that out makes you very happy."
Wood revealed he had been suffering from illness ahead of the fourth Test as England battle to avoid a 5-0 whitewash.
He said: "I had a bit of a rough night but I managed to keep just enough energy for the day.
"I had a bit of a stomach problem but I'm hoping that with a good night's rest and some food inside me I'll be right as rain tomorrow."
Although England were frustrated by rain, Wood was delighted they got the opportunity to remove Harris and Labuschagne before play was called off for the day.
"It could have been a good opportunity for us to get another couple of wickets but after a stop-start sort of day to get a couple towards the close was a big deal," he added.
Joe Root's side have been comfortably outplayed by Australia in the opening two Tests, most recently succumbing to a 275-run defeat in Adelaide after a nine-wicket loss in Brisbane.
Another crushing blow at the Adelaide Oval leaves England needing a minor miracle to overturn a 2-0 series deficit, the tourists now without a win in 12 Tests in Australia – their joint-longest run Down Under (also 12 between January 1937 to February 1951).
The third Test starts in Melbourne on December 25 and Wood hopes an in-depth chat between players, and an honest evaluation from Silverwood, after defeat in the second Test will leave England in better shape.
"We obviously review the game, chat about what we did well, what we didn't do well, but this time it was sterner from Chris Silverwood," Wood said.
"To hear [Chris Silverwood] speak like that – not because he's under pressure or anything – but to hear him speak like that rather than just being his usual coaching self, he was actually annoyed and wanted a change.
"Hopefully it comes at the right time for us to catch a spark.
"Stokesy [Ben Stokes] and Joe Root spoke to the group about… basically a bit of a kick up the bum saying 'this isn't good enough'.
"We've talked in-depth about how things can get better. Not just words or cliched words, we actually set out what we're going to do in Melbourne practice-wise, what we're going to do differently."
Wood did not feature in Adelaide despite impressing in the opening Test, with Stuart Broad and James Anderson leading the tourists' bowling attack in the latter pink-ball outing.
Right-arm paceman Wood is expected to return for the next Test to offer Root an alternate option to his attack after the England captain criticised his bowlers' lengths.
Root provided a scathing summary earlier in the week as he claimed his bowlers "needed to be braver" and had repeated mistakes from four years ago, but Wood believes his captain's words did not come across in "the way he totally wanted" to.
Wood added: "I don't think there's any friction between the bowlers and the captain. It's not like that at all."
Nevertheless, it is now or never heading into Saturday and the Durham quick believes England can still change their fortunes around.
"We've got to believe we can turn this round," Wood said. "We haven't shown our best stuff yet. We know that Australia have played really well. If we can match them then we believe we can win Test matches here.
"We've just got to up our game in all three areas. At the minute, Australia have scored 400 twice, we've had batting collapses and we've dropped catches.
"We've got facets of the game that need major work. We've now got a couple of days to stop thinking about cricket, get away in Melbourne and enjoy the lead-up to Christmas."
Australia's men will start their defence of the urn at Edgbaston on June 16 and the five-match series will end earlier than usual at The Oval in a finale that will be staged from July 27-31.
Ben Stokes' England side will also face their fierce rivals at Lord's from June 28 to July 1, Headingley (July 6-10) and Old Trafford (July 19-23).
The five-day contest between England's women and the tourists will start at Trent Bridge on June 22, and will be only the second women's Test of that length ever after the same two countries played at the North Sydney Oval in 1992.
A multi-format series, the women's Ashes will see the Test match account for four points, while there will also be three ODIs and three T20Is, each worth two points.
The T20Is will be played at Edgbaston, Lord's and The Oval, the first time the venues will have hosted women's Ashes games in the format.
The Ashes showdown between Australia and tourists England was set to be staged at Perth's Optus Stadium from January 14-18, however, the state's strict travel strictions has forced the series finale to be moved.
While CA announced the relocation of the Perth Test on Monday, no new host has been confirmed, with Hobart among the possible locations.
Melbourne – the scene for the Boxing Day Test – and Sydney, which will host the fourth Test, have been floated as possible new host venues for the Test match.
Under Western Australia's current border rules, visitors from New South Wales – where the fourth Test is due to take place from January 5-9 – must complete 14 days quarantine upon arrival.
Talks between CA and the WA state government had seemed to be heading in a positive direction last month, with a potentially shorter and more relaxed quarantine period for players, their families and match and broadcast staff, but the emergence of the Omicron variant has reaffirmed the state's hardline stance on borders.
"While absolutely every effort was made to ensure the final Test match of the series could be staged in Perth, border controls, quarantine requirements and the complexities of staging a five-Test series in a tight schedule have meant it is unfortunately not possible to align the respective priorities of the WA Government, CA and WA Cricket," CA said in a statement.
WA Sport and Recreation Minister Tony Buti had publicly spoken about a proposal to shift the order of the Tests, with Perth replacing the second Test in Adelaide starting December 16 – given borders remain open between WA and Queensland where the first Test will be held – but CA closed the door on that idea.
"These complexities also mean that any suggestion of changing the order of the venues would not be feasible," the statement said. "Discussions about a replacement venue for the fifth Test match are underway."
The decision is a major blow for WA Cricket and Perth, which missed out on a Test match during the last Australian summer following the postponement of a one-off game against Afghanistan.
WA Cricket CEO Christina Matthews said: "We are extremely disappointed for our Members, fans, Commercial Partners and the wider WA cricket community as well as all our staff and players who have been looking forward to and planning for the first ever Ashes to be played at Perth Stadium.
"We've been working closely and constructively with the WA Government and Cricket Australia for many months to bring this fixture to Perth amid the pandemic-related challenges we've faced.
"While this decision is very difficult to accept, the complexity of staging the Test in the face of strict border controls and quarantine requirements has resulted in it not being possible to align the respective priorities of the WA Government, Cricket Australia, and WA Cricket."
The first Ashes Test begins in Brisbane on Wednesday.
The all-rounder trapped Jofra Archer lbw in England's second innings as he achieved the career feat in a low-scoring day-night match at the spectacular Narendra Modi Stadium.
Ashwin joins Anil Kumble, Kapil Dev and Harbhajan Singh on the distinguished list of those to claim 400 scalps in the longest format for India.
The 34-year-old is the 16th player to the milestone overall, getting there in only his 77th match. He is the second fastest to 400 too, behind only Sri Lanka's Muttiah Muralitharan in terms of games played.
Ashwin moved six wickets shy of the milestone by taking match figures of 8-95 in an emphatic defeat of Joe Root's side at M.A. Chidambaram Stadium last time out, having claimed 9-207 in the first Test.
He also struck a sublime century - the fifth of his career - in a magnificent man-of-the-match performance at his home ground in Chennai, where India levelled the series at 1-1.
After claiming 3-26 as the tourists were bowled out for 112 on day one of the game in Ahmedabad, Ashwin removed Ben Stokes and Ollie Pope before Archer became his 400th Test victim, given out for a two-ball duck after attempting a sweep shot.
Sachin Tendulkar - Test cricket's all-time leading runscorer - was quick to congratulate his compatriot on Twitter.
"Terrific consistency!" Tendulkar wrote. "Well done, keep it up. Joy to watch you bowl."
Ashwin dismissed Jofra Archer during a short-lived day-night match against England in Ahmedabad, in the process becoming only the fourth India bowler to reach the landmark.
The spinner joins compatriots Anil Kumble, Kapil Dev and Harbhajan Singh in the 400 club, while he is the 16th player to achieve the feat in the longest format.
Ashwin brought up the milestone in only his 77th match; there will surely be plenty more to come for the 34-year-old, too.
His standout numbers with the ball in the Test arena since making his debut versus West Indies in November 2011 make for impressive reading.
A five-star performer
Ashwin has taken 29 five-wicket Test hauls, a tally only six players have bettered: Muttiah Muralitharan, Shane Warne, Richard Hadlee, Kumble, Rangana Herath and James Anderson.
The in-form Ashwin is just one shy of England seamer Anderson's total of 30, having taken 6-61 in the second innings of the first Test and 5-43 in the first innings of a second match India won emphatically to level the series.
While not quite able to add to the collection in Ahmedabad, he still finished the game with impressive match figures of 7-74.
Ashwin has taken six five-wicket hauls in as many Tests against New Zealand - more than any other side. He has claimed 10 scalps in a Test on seven occasions and seven in an innings five times.
A thorn in Australia's side
Ashwin has racked up 89 of his wickets against Australia, more than any other side.
They were taken in 18 matches at an average of 31.5, while he has also thrived against England over the years - taking 73 wickets at 32.2 apiece.
Ashwin has 39 Test wickets in Australia, more than any nation other than his homeland.
His best performance came in October 2016 against New Zealand in Indore, helping himself to match figures of 13-140 - including 7-59 in the second innings of a crushing 321-run win.
A liking for left-handers
Ashwin has had great success bowling at left-handers over the years.
He has dismissed a left-hander on 205 occasions, with his average against them at 19.5 compared to 31.2 against right-handers before play began in the third Test.
Ben Stokes is among the batsmen who has suffered at the hands of Ashwin the most; he has dismissed the England all-rounder 11 times in total.
Only Muralitharan managed to make it to 400 in fewer Tests and while Kumble's final total of 619 may be an ambitious target, it seems certain that by the time Ashwin decides to retire, India's newest member of the prestigious club will occupy at least second place on their all-time list for wickets.