Australia opener Warner polled 194 votes, one more than Smith, while last year's winner Pat Cummins was also close behind with 185.
Marnus Labuschagne won the award for Men's Test Player of the Year, with Smith again coming a close second, while Aaron Finch claimed the ODI honour for the first time and Warner made it a double by landing the T20I gong.
Warner previously won the Allan Border Medal in 2016 and 2017, with four-time winners Ricky Ponting and Michael Clarke the only players to have won the accolade, considered the most prestigious individual prize in Australian men's cricket, on more occasions.
The 33-year-old impressed across all formats during last season, scoring three centuries at the Cricket World Cup at an average of 71.88.
Warner struggled as Australia retained the Ashes in England but rebounded with superb home Test performances against Pakistan, versus whom he scored 335 not out in Adelaide, and then New Zealand.
The batsman's T20 form was spectacular, as he averaged 147.61 in three clashes with Sri Lanka and 140 in another trio of matches against Pakistan, helping him to see off 2019 winner Glenn Maxwell in the voting for the T20 honour in addition to the Allan Border Medal.
Warner and Smith both impressed as they returned from one-year suspensions in 2019 after their involvement in the ball-tampering affair the previous year.
The Australian Cricket Awards are voted for by players, the media and umpires after each Australia game.
Fast bowler Wes Agar was named The Bradman Young Cricketer of the Year, while in the women's game The Belinda Clark Award went to Ellyse Perry, who like Warner is a three-time winner of the top prize available.
The batsman, who this week won his third Allan Border Medal, is eager to play the upcoming T20 World Cup tournaments in 2020 and 2021, though he is pondering stepping down from the shortest form of the game after that.
Warner was also named Australia's Twenty20 player of the year at Monday's awards ceremony.
But the 33-year-old did not play the most recent edition of the Big Bash League and the international T20s could be the next to go.
"I don't have a BBL team; I took a break during this period, and that was about my body and my mind, making sure I'm getting ready for the next series that comes up," said Warner.
"If you look at T20 internationals, we've got back-to-back World Cups as well, that's probably a format that could be one I'd probably drop in a few years.
"I have to look at the schedule; it's going to be very difficult [for me] to play all three forms, and good luck to all the guys who want to keep playing that.
"You talk to guys like AB de Villiers and Virender Sehwag, these guys who've done it for a long time, it does become challenging.
"Having three young kids and my wife at home all the time, the constant travelling becomes very difficult.
"If it was to come down to [leaving out] one format, it would probably be the international T20s."
The BBL has increased in size every year and is now a mammoth 61-match event, though Warner insisted that is not the only factor at play in his decision to step aside.
Warner added: "For me it's about working out timeframes with different series, identify when you need a bit of a rest.
"Generally, we play a Test series and go into a one-day series. We went to India and then generally you have a one-day series at home, back-to-back games and then you go away.
"So, it was a bit different this year; I was able to have that opportunity to have that break which I'm grateful for.
"A lot of the guys try to go back and play as much as they can. Sometimes, you look at the [BBL] finals as an example, they come back and play the final.
"You're taking someone's spot as well, which is always tough as a player, you don't want to come back and just take someone's spot for one game."
Warner, who has announced his plans to retire in January, battled through a tricky new-ball spell at the Kia Oval and had started to find his groove as he moved to 43.
There were flashes of the left-hander at his domineering best, not least when he piled into Umesh Yadav with four boundaries in an over, but his hopes of making a significant score came to a timid end.
All-rounder Shardul Thakur, selected ahead of the world’s number one ranked bowler Ravichandran Ashwin as India opted against a second spinner, was the man to make the breakthrough.
There was a touch of good fortune as Thakur dug one in short and down the leg-side, with Warner getting in an awkward position on the pull and brushing a glove through to the wicketkeeper.
Srikar Bharat made good ground, hurling himself to his left and snapping up the catch, to draw a rousing ovation from a crowd dominated by Indian supporters.
They had the started the day in good voice, skipper Rohit Sharma winning the toss and throwing the new ball to Mohammed Shami and Mohammed Siraj.
The pace pair made life hard for the Australian openers, with Warner looking vulnerable as Shami worked him over from around the wicket. It was Usman Khawaja who was first to fall, banking a 10-ball duck and nicking Siraj to Bharat.
There was an early scare for new man Marnus Labuschagne, who dramatically dropped the bat in pain when Yadav rapped him on the left thumb with a sharp, lifting delivery.
England fans would be forgiven for having the Ashes on their minds as Labuschagne received treatment and popped a couple of painkillers, but he resumed his innings and even wore another blow to the hand to reach the interval on 26 not out.
There was frustration when the opening day was washed out in Southampton and it was the same story on a miserable Monday.
The Black Caps had taken the upper hand on day three, Kyle Jamieson taking 5-31 as Virat Kohli's side collapsed to 217 all out.
Devon Conway was dismissed for 54 late in the day, but New Zealand were in a promising position on 101-2 at stumps – trailing by 116.
Although a reserve day has been set aside for Wednesday, a draw would appear the most likely outcome in the inaugural final.
The Windies were due to resume on 10-2 after being set a highly improbable 399 to win, Stuart Broad having taken six wickets on Sunday to take his tally in the longest format to 499.
A bleak Monday in Manchester prevented a ball from being bowled, so Joe Root's side must hope they will have enough time to regain the Wisden Trophy on the final day.
Scattered showers are forecast for Tuesday, but the outlook is more positive than on a grim penultimate day.
Shai Hope and Kraigg Brathwaite were unbeaten at stumps on a one-sided third day after Broad removed John Campbell and nightwatchman Kemar Roach.
England paceman Broad finished with magnificent first-innings figures of 6-31 in the morning session after bludgeoning a rapid half-century on Saturday.
Wet weather in Manchester prevented Joe Root's side from making further inroads after reducing the Windies to 32-1 in reply to 469-9 declared on Friday.
A more positive forecast for days four and five will give England hope they can still level the series, having gone down by four wickets in the first Test in Southampton last week.
The Windies are bidding for a first series victory in England in the longest format since 1988.
Wicketkeeper and versatile batter De Kock revealed his decision in the aftermath of a 113-run defeat for South Africa against India in the first Test at Centurion on Thursday.
Across 54 internationals in the longest format, the left-handed De Kock managed 3,300 runs at an average of 38.32, including six centuries and 22 half-centuries for the Proteas.
The 29-year-old registered scores of 34 and 21 against Virat Kohli's side in the three-Test series opener, though he was set to miss the second and third Tests after being granted paternity leave for the birth of his first child.
However, he has opted to entirely step away from red-ball cricket to focus on family life, while remaining available for limited-overs selection for the Proteas.
"This is not a decision that I have come to very easily," De Kock said in a statement issued by Cricket South Africa (CSA). "I have taken a lot of time to think about what my future looks like and what needs to take priority in my life now that Sasha and I are about to welcome our first child into this world and look to grow our family beyond that.
"My family is everything to me and I want to have the time and space to be able to be with them during this new and exciting chapter of our lives.
"I love Test cricket and I love representing my country and all that it comes with. I've enjoyed the ups and the downs, the celebrations and even the disappointments, but now I've found something that I love even more.
"In life, you can buy almost everything except for time, and right now, it's time to do right by the people that mean the most to me.
"I would like to take this opportunity to thank everyone who has been a part of my Test cricket journey from the very beginning. To my coaches, team-mates, the various management teams and my family and friends – I couldn't have shown up as I did without your support.
"This is not the end of my career as a Protea, I'm fully committed to white-ball cricket and representing my country to the best of my ability for the foreseeable future.
"All the best to my team-mates for the remainder of this Test series against India. See you in the ODIs and T20s."
De Kock began 2021 as South Africa's temporary Test captain, leading the Proteas against Sri Lanka and Pakistan before being rested for the ODIs against the Netherlands after struggles with COVID-19 bubble life.
He will be sorely missed behind the stumps in the red-ball arena, given he has 232 dismissals – including 221 catches and 11 stumpings – to his name since his Test debut against Australia in 2014.
"It's sad to lose a player of Quinton’s calibre at what we still see as the prime of his career and relatively young life, but family, as we all say here at CSA, is everything," CSA's Acting chief executive officer Pholetsi Moseki added.
"He has been a loyal and proud servant of the Proteas team for the last seven years and we are glad that we have not lost him from the game entirely.
"We value his contribution to the team as a leader and we are grateful for the time and energy that he has given the team in years passed.
"We would like to wish him and Sasha all the best ahead of the birth of their little girl and we are excited to be gaining another member in our cricket family. We look forward to seeing Quinton at his fighting best in white-ball cricket."
The Proteas' white-ball skipper this month agreed to lead his country in the longest format for the 2020-21 season.
De Kock will take on the duties for the encounters with Sri Lanka, Pakistan and Australia, replacing Faf du Plessis after the batsman stepped down in February.
Wicketkeeper-batsman De Kock ruled out staying on as captain, but is happy to fill in until a full-time successor to Du Plessis is appointed.
"When they [the South Africa selectors] told me the situation that we were in, I understood where they were coming from," De Kock said ahead of the first Test against Sri Lanka, which starts on Boxing Day.
"Obviously, I didn't accept it immediately. I did think about it and I understood, it's just for now. For this season. It's not a long-term thing.
"It's just [until] when we get someone who really puts up their hand, they will take over. The guys are looking for a long-term leadership role. I won't be doing that.
"There does seem a lot on my plate but I am quite happy to do it for now."
De Kock revealed he will retain the gloves in Test cricket, so it appears Kyle Verreynne will have to be patient before he is handed a debut.
"I wasn't going to keep in the ODIs against England. We were going to give someone else a chance and now that I am looking after the Test team, we are looking at ways to get a lot of things off my shoulders," De Kock said.
"But in Test cricket, I need to be there as keeper."
The wicketkeeper-batsman made 141 not out on the second day in St Lucia, striking seven sixes in an onslaught that none of his team-mates came close to matching.
In response to West Indies' feeble 97 all out, South Africa ran up 322 for a 225-run first-innings lead, before limiting the home side to 82-4 second time around.
The tourists will therefore carry a lead of 143 into day three, with West Indies buckling again and looking set for a humiliating home loss.
De Kock, on four not out overnight, set the tone on Friday when he cut away the first delivery of the morning to the boundary.
The man on the end of that treatment, Kemar Roach, avoided being hoisted for a six by the increasingly aggressive De Kock, but Jayden Seales, Rakheem Cornwall and Jason Holder were each carted twice, while Kyle Mayers was also flogged for a maximum.
Across the day, De Kock made 137 of the 194 runs scored by South Africa's batsmen, the 28-year-old finding little support as he posted his sixth Test hundred. Rassie van der Dussen was out in mid-morning for 46, having added just 12 to his overnight score, Holder (4-75) having him caught by Shai Hope at gully.
The wickets kept tumbling while De Kock continued untroubled, Wiaan Mulder's 25 being the only significant other contribution. Keshav Maharaj perished to a majestic catch from substitute Kieran Powell off Cornwall, the short-leg fielder reaching down to his right to make the perfect grab.
West Indies had no answer to De Kock, and nor did their opening batsmen subsequently know how to handle South Africa's Kagiso Rabada, both Kraigg Brathwaite and Powell pinned lbw by the paceman as the hosts slid to 25-2 second time around. When Anrich Nortje had both Hope and Mayers held at third slip, West Indies were 51-4. A punishing defeat beckons on Saturday, surely.
De Kock's one-man show
The scorecard tells us that there were other South African batsmen involved on Friday, but it barely felt like it. De Kock's performance was majestic and dominant, his innings containing 12 fours and those seven sixes and coming from just 170 deliveries. His Test best stood at 129 before this knock, which he managed against Pakistan in Johannesburg in 2019 and in an undefeated innings at Centurion against England three years earlier.
Innings mauling incoming
West Indies have offered nothing to suggest there is a twist to come in this match. Captain Brathwaite might try to rally the troops, but this is surely all about damage limitation now. The South African quicks again bowled with terrific control, and they must be excited about the prospect of a second Test at this Gros Islet ground again next week.
England collapsed to their heaviest Test defeat in terms of runs since the Second World War to go 2-1 down in the five-match series.
Another blockbuster double century from Yashasvi Jaiswal set England a world record target of 557 to win the third Test.
Jaiswal, who made 209 in Visakhapatnam last time out, equalled the record for the most sixes in an innings with a dozen in his unbeaten 214 to underpin India’s 430 for four declared.
England never threatened to achieve the unthinkable as India’s attack – latterly bolstered by the return of Ravichandran Ashwin following his departure due to a family medical emergency – tore through the tourists’ beleaguered line-up.
“It doesn’t always work out how you want, but we still have a great chance to win the trophy 3-2,” Stokes told TNT Sports.
“We leave this game behind us, just as we did with the first two matches, and we know we have to win the next two games to take the series.”
Ravindra Jadeja led the way with five for 41 as Stokes’ side were skittled in 39.4 overs.
Stokes was asked if England’s aggressive style could be perceived as reckless.
“Everyone has a perception and an opinion about things but the opinions of the people in the dressing room are the only one that matters to us,” the England skipper continued.
“We know that things don’t always work out how you want them to.
“Ben Duckett (153) played an unbelievable first innings and that was the tone we wanted to set throughout and it was about identifying that opportunity to push the scoreboard on and get as close as we could do to India’s total.
“I wanted us to be bowling yesterday, even though it came earlier than we expected, because of how we felt the wicket was going. We wanted to push the game on as much as we possibly could, but sometimes gameplans don’t work out and that is sport sometimes.”
Having seen Marnus Labuschagne achieve the rare feat of a double and single century in the same match with his 104 not out, the hosts had declared on 182-2 on Saturday.
With 498 to defend, hopes of an easy cruise to the finish line proved more complicated for Pat Cummins' side, with the skipper forced off with a quad strain in the fourth innings.
Though he later returned to the field, the tourists proved to be anything but easy pickings in Perth, with Brathwaite (101 not out) leading a spirited charge in pursuit, to finish the day on 192-3.
Nathan Lyon (2-54) and Mitchell Starc (1-36) made some headway with the ball, but there is still work to do for the hosts to finish the job.
The day had appeared to belong to Labuschagne, becoming only the third Australian and eighth player overall to post a double century and a single century across the two innings of a red-ball match.
However, Brathwaite, ably supported by Tagenarine Chanderpaul (45), gave the Windies a glimmer of hope heading into an intriguing final day.
Two declarations the treat for Australia
Having curtailed their own innings twice, it is a testament to the hosts' dominance that they look absurdly sharp ahead of what will be a busy month that also sees them welcome South Africa for red-ball encounters.
For Labuschagne in particular, with his total score eclipsing his previous best of 274 set against New Zealand in 2020, it proves that his resurgence in Galle against Sri Lanka last month was no fluke, too, in what will be a major relief.
West Indies on brink of defeat
Having seen Australia rack up their second-biggest total against them in the country – behind Sydney in 1969 – it was always going to be a long stretch for the tourists to take this one.
With a full day of cricket ahead, it will take some serious effort from their middle order and tail to either play for a draw or mount a shock result.
The former captain arrived at the crease with his side at 116-6, after a Proteas attack led by Gerald Coetzee had torn through their top order at Wanderers Stadium.
With a diligently impressive performance however, the former number one all-rounder in the world dug his side out of dire straits for a final total of 251 all out in Johannesburg.
His efforts will have spared the blushes of Kraigg Brathwaite's men, though Temba Bavuma's side will still feel they have the advantage heading into the rest of the week.
West Indies had made the best possible start to the first session, dismissing South Africa for a final total of 320 after taking their remaining three wickets for the loss of just nine runs.
Any hope of mounting a steadfast pursuit though appeared to crumble quickly though, with the loss of openers Kraigg Brathwaite (17) and Tagenarine Chanderpaul (1) inside the first dozen overs.
Coetzee, who finished with figures of 3-41, subsequently removed Reifer and Blackwood in quick succession, reducing the visitors to 51-4.
Roston Chase (28) and Kyle Mayers (29) mustered a half-century partnership before they too were dismissed, leaving West Indies over 200 behind with just four wickets in hand.
South Africa likely had high hopes of finishing off the tail with little further effort, but they did not count on the stubborn resistance offered by Holder, who guided their fightback on the front foot.
A 58-run stand for the 10th wicket saw him drag West Indies within three figures of the Proteas, before Gudakesh Motie was caught off Simon Harmer for 17 to curtail their resistance.
Dean Elgar (3 not out) and Aiden Markram (1 not out) added four without loss for the hosts in the final three overs of the day, but at stumps, they could yet come to rue their inability to maintain their cushion.
Holder sets number eight record
Arriving as the late-breaking cavalry for his team, not only did the 31-year-old put his side firmly back in contention but he entered the history books too.
His score of 81 is the best by a batter at number eight in a Test at Wanderers Stadium, exceeding the 78 set by Mark Boucher for South Africa against Pakistan in 1998.
Coetzee justifies inclusion
Having only made his Test bow in the pair's first game last month, it was a less-than-auspicious debut for the 22-year-old, with three wickets across both innings.
Here, he matched that figure in less overs, though his ultimate average was hurt by West Indies' late resistance.
Seeking a 3-0 whitewash with victory at Headingley, England resumed play on the third day hopeful Jonny Bairstow and Jamie Overton would steer them into a first-innings lead.
Bairstow added to his overnight 130 to go past 150 in expedient fashion and, though Overton (97) was denied a Test century on debut, England claimed a lead of 31 runs as they were bowled out for 360.
Tom Latham (76) produced his best batting effort of a difficult series, but New Zealand slumped from 152-2 to 168-5 after a rain break in the evening session to leave Mitchell and Blundell nursing a lead of 137 when rain stopped play.
Bairstow was fluent once more after the morning session got going, his 150 the second-fastest in England's Test history as it came in 144 balls.
Overton was evidently more nervous and his hopes of a hundred went when he chased an off-stump delivery from Trent Boult and edged to first slip.
Stuart Broad (42) hit a barrage of boundaries to help England beyond 350 before he and Bairstow went in successive balls, Jack Leach the last man to depart after a pair of fours.
Despite Will Young's early exit to Matthew Potts (2-20), New Zealand progressed serenely until the first ball after tea, when Overton had Latham caught behind.
A brief rain delay undid New Zealand further. Ollie Pope claimed a brilliant catch at short leg as Devon Conway fell to Joe Root and Potts drew an edge to remove captain Kane Williamson (48), with Ben Stokes' faith in Leach rewarded by the spinner dismissing Henry Nicholls (7) caught and bowled and giving Mitchell and Blundell a recovery mission.
Quick work for Bairstow
Bairstow, who finished with 162 from 157 balls, was the star of the show with the bat at his home ground in England's first innings.
He did most of the damage on day two but only Stokes, who did so in 135 balls against South Africa in 2016, can claim to have reached a Test 150 faster than Bairstow, who donned the wicket-keeping gloves for New Zealand's second innings due to a back problem for Ben Foakes.
Can New Zealand's dream team do it again?
Mitchell and Blundell combined for a stand of 195 in the first Test and 236 in the second. They will likely need to produce another fine partnership to help New Zealand post an imposing target for England.
Potts, who has now dismissed Williamson in three of the Black Caps skipper's four innings this series, looks in the kind of form to thwart them.
Root missed the first Test at the Rose Bowl – which the Windies won by four wickets – due to the birth of his second child.
However, the skipper has returned for the second Test, which starts at Old Trafford on Thursday, with the tourists aiming to secure their first series win in England since 1988 in the longest format.
Denly makes way, with the 34-year-old batsman having made 18 and 29 behind closed doors in Southampton.
With Root coming in at number four, Zak Crawley will move up to bat at three – the 22-year-old keeping his place in the side on the back of an impressive 76 in the second innings last week.
England have not confirmed the rest of the team, with Stuart Broad vying to be included after the experienced paceman was left out for the first Test.
Former limited-overs captain Dhoni was not among the 27 India players to receive deals for the period from October 2019 to September 2020.
The wicketkeeper-batsman has not been in action since the semi-finals of the 2019 Cricket World Cup last July, though he has not officially retired from the international arena.
India coach Ravi Shastri previously said Dhoni had a chance of featuring at the T20 World Cup if he performed well in the Indian Premier League, which starts in March.
Dhoni made his international debut in an ODI against Bangladesh in 2004 and captained his country to glory at the 2007 World Twenty20, 2011 World Cup and 2013 Champions Trophy.
He featured in 90 Tests before retiring from the longest format in 2014.
Ambati Rayudu, Dinesh Karthik and Khaleel Ahmed also lost their central contracts, while Mayank Agarwal, Navdeep Saini, Deepak Chahar, Shardul Thakur, Shreyas Iyer and Washington Sundar were granted deals by the BCCI.
Returning England captain Joe Root was rocked by the news that he would have to do without Jofra Archer as his side attempt to level the three-match series after the paceman breached bio-secure protocols.
Roston Chase (2-53) took two wickets in as many balls either side after lunch to reduce England to 29-2 after Jason Holder won the toss and opted to bowl under grey skies following a delayed start.
Sibley (86 not out) and Stokes, unbeaten on 59, batted with great disciplined to make it England's day in Manchester, putting on an unbroken 126 to leave Root's side 207-3 at stumps.
Holder dropped Sibley on 68, but the opener deserved that stroke of luck after showing great application to frustrate the Windies, eyeing a first Test series win in England since 1988 after their victory in Southampton last week.
The Windies pacemen were wayward when play got underway 90 minutes late due to rain, but Chase trapped Rory Burns (15) leg before on the stroke of lunch in his first over.
Chase was on a hat-trick after lunch when Zak Crawley clipped the first ball he faced to Holder at leg slip, but Sibley and Root steadied the ship with a stand of 52.
Root trudged off after edging Alzarri Joseph to Holder at second slip, but Sibley continued to dig in and Stokes launched Chase for the first six of the series down the ground in a probing final over before tea, which England took on 112-3.
Sibley brought up a hard-earned half-century off 164 balls and had a life when he nicked Shannon Gabriel - returning after a spell off the field - to Holder, but the skipper put down a straightforward chance.
Gabriel got Holder in on the action again at second slip, but this time with a huge wide, and Stokes reverse-swept Chase for four before he had his 50 off 119 deliveries in a wicket-less final session.
Stubborn Sibley stands firm
Sibley showed great powers of concentration to drop anchor for a second consecutive half-century.
The Warwickshire opener faced 253 balls and struck only four boundaries in a disciplined traditional Test match knock to close in on a second international hundred.
Stokes, captain in the absence of Root at the Rose Bowl, was also watchful and England - who recalled Stuart Broad, Chris Woakes and Sam Curran - will be hopeful of building on the foundations laid.
Chase shows Windies are not all about pace
Gabriel was man of the match in the first Test, but the Windies pacemen failed to make the impact Holder had in mind when he put England in on a gloomy first day.
They lacked control and did not show the threat they posed on the south coast, but Chase delivered when he has thrown the ball by Holder at the end of an hour-long first session.
The all-rounder hit Burns bang in front, the left-hander wasting a review, and saw the back of Crawley straight after lunch before generating turn without reward later in the day.
Joseph uproots England captain yet again
Windies fast bowler Joseph appears to have the measure of England captain Root.
When the returning skipper was tempted into an extravagant drive and edged to Holder it was the fourth time his last five Test knocks against the Windies he had been dismissed by Joseph.
Stokes took the final three wickets in Cape Town as South Africa fell half an hour short of batting through day five to secure a draw that would have kept them ahead in the four-match series.
Instead, it is intriguingly poised at 1-1 and Bess does not mind that his 60 overs in the match, which went for an economical 1.98, produced just two wickets.
"It was all about trying to build up sustained pressure and I think especially in the first innings that was key," Bess told reporters.
"I could be a little bit more attacking in the second dig, but even then there wasn't a huge amount on offer from the straight.
"I'm happy bowling at one end, not picking up wickets and letting the boys do it at the other end. It is unbelievable to be a part of."
He added: "It was about putting the ball in the right place, and I got a couple of balls to bounce and take the inside edge and create chances. Some days they go to hand and some days they don't.
"When you've got guys like Stokesy at the other end and Jimmy [Anderson] and Broady [Stuart Broad] then it is phenomenal.
"I'm really happy with how I went here because I felt like I built up pressure and produced chances along the way.
"I'd love to be taking four or five wickets and being the man, but if I am producing consistently then that will come another day."
Bess played after Somerset team-mate Jack Leach was one of a host of England players to struggle with illness on the tour.
Leach may be back for next week's third Test in Port Elizabeth but Bess hopes he can hold on to the spot.
"I've got to focus on next week at PE and whether I play or not," added the 22-year-old. "I completely understand if Leachy plays, but hopefully I've put myself in a position to play.
"It has been a hell of a ride. I played the Test matches in 2018 and did alright, but then fell off the radar a little bit, and within myself I lost a lot of confidence within my game.
"Over the last two years, I've just been gradually building that back up."
England have named their 13-man group for next week's first Test against the Windies at Southampton, and there was no place for Bairstow or all-rounder Moeen Ali.
Bairstow has not played for England since making a combined 10 in his two innings of the first Test against South Africa in December, and the 30-year-old averaged only 18.55 in 10 Tests in 2019.
Jos Buttler and Ben Foakes are ahead of Bairstow in the Test pecking order, but the Yorkshireman is still a key figure for the limited-overs teams and Smith has not discounted a red-ball return in the future.
"No one doubts he is a very good cricketer across all formats and no doors are closed for him," Smith told reporters.
"We are fully aware of what he can do in Test cricket. But it is also the case that we are where we were before coronavirus caused a suspension - Jos Buttler is the man in possession and Ben Foakes was the deputy on that tour to Sri Lanka.
"I wouldn't make any presumptions in terms of anything being blocked for Jonny. There is a wide understanding of how good he is at his best.
"He is a very talented player and has played some very fine innings for England across the formats. That is not going to be forgotten.
"Jonny has had an exceptional spell of form in white-ball cricket and there is cricket to be played there, so it seemed the best arrangement for Jonny to move across to the white-ball bubble.
"With Moeen and Jonny, part of the calculation is that they have been very good performers in white-ball cricket."
Moeen's absence from the Test team stretches back to the Ashes last year as he withdrew from consideration for England's tours to New Zealand, South Africa and Sri Lanka.
Though he will not be involved in Southampton next week, Smith is pleased he has made himself available for Test selection again.
"We are very glad Moeen is available - he is a trusted and valued cricketer and his availability is good news for the spin department," Smith added.
Jason Holder (46) and Dowrich (47) ensured the Windies avoided the follow-on, but Stuart Broad (6-31) took all four wickets in the morning session to dismiss them for 197.
There was more pain for the tourists after England started their second innings with a lead of 162 at Old Trafford, Holder the first to be in pain after being struck on the thumb.
The captain was able to continue, but Dowrich went off the field after a short delivery from Shannon Gabriel went through his gloves and appeared to hit him in the face.
Shai Hope initially took the gloves before the uncapped Da Silva, who will not be able to bat in the second innings, came on to take his place and soon missed a chance to stump Rory Burns.
England were 50 without loss in the afternoon session, leading by 222 runs as they bid to regain the Wisden Trophy, knowing rain is likely to wipe out day four.
Uncapped 22-year-old Holder was named in the touring party following some outstanding domestic performances for Barbados Pride in the West Indies Championship.
The Barbadian gave a demonstration of his huge potential back in 2016 when the Windies won the Under-19 Cricket World Cup and could make his senior debut during a three-match series in England, which starts behind closed doors at the Ageas Bowl next Wednesday.
Former West Indies fast bowler and assistant coach Drakes has helped to nurture Holder's talent and thinks he can cause England problems if he is given an opportunity.
Drakes told Stats Perform News: "I've known Chemar from a young age, he went to school with my son, Dominic, and they have come through the system together and been part of the group of West Indies Emerging Players.
"I have done some one-to-one coaching work with him and he's got some good attributes, good skill sets. He's a hard worker and used to be a sprinter, he was a 400 metres runner and also competed in the 1500 metres.
"When he gets it right, he's consistently in the high 80s [miles per hour]. The only way to find out if he's ready is to throw him in at the deep end against England.
"He would have played against England A team last year and would have gone to England the year before that as part of the Emerging Players group, so he would have had the experience of bowling in those conditions."
Kemar Roach was among 12 members of the Windies squad who Drakes worked with before they flew out to England for the first international cricket since the coronavirus pandemic brought the vast majority of sport to a halt.
Roach was man of the series when West Indies won a Test series against England in the Caribbean last year and Drakes, who was assistant coach for that 2-1 triumph, says he can make a big impact again.
Asked if Roach will be the spearhead of the attack, he replied: "Absolutely. One of the things he did well last year was he took early wickets.
"Without giving away too much methodology in how to deconstruct the opposition gameplan and counter them, Kemar Roach has the ability to take early wickets, releasing the ball from wide of the crease and moving away from batsmen - particularly the right-handers.
"His track record against left-handers is phenomenal and England have some left-handers. Kemar and Jason [captain Holder], they set the tone along with [Alzarri] Joseph and Shannon Gabriel can be a threat with his pace and uncertainty he creates.
"It will be interesting to see if that combination can work as it did in the Caribbean."
