Resilient Wolves edged derby rivals Aston Villa 1-0 to end any lingering fears of relegation from the Premier League.
Toti Gomes’ first Wolves goal secured a fourth straight home win and leave them 10 points clear of the Premier League relegation zone.
It would now take a staggering set of results to send Wolves, who are 13th, down on 40 points.
Villa’s European hopes suffered a potentially fatal blow as it leaves them eighth, a point behind Brighton – who they host on the final day – having played three games more.
That they were even in European contention remains a tribute to the work Unai Emery has done since replacing Steven Gerrard in October.
Villa do at least face Tottenham, Liverpool and the Seagulls – those immediately above them – in their final three games but any hopes of Europe are fading.
Smarting from the 6-0 thumping at Brighton last week, Wolves’ heaviest league defeat in 16 years, the hosts went to remedy the result early.
Villa actually enjoyed a brighter start in the opening exchanges but it was Wolves who grabbed a ninth-minute winner.
Ruben Neves was forced to wait to take his corner but when he did the midfielder picked out Toti to crash in a header off the bar from 12 yards – just his second career goal.
Villa, who lost a 10-game unbeaten run with a 1-0 defeat at Manchester United last weekend, responded with Jose Sa turning Emi Buendia’s strike wide.
The visitors remained the aggressors but lacked the sharpness which had propelled them up the league since Emery’s arrival. It allowed Wolves to remain comfortable at the back, despite Villa dominating possession.
Slowly, though, Emery’s side began to find space and Ollie Watkins’ acrobatic effort dropped wide. It was a warning for Wolves and they escaped again soon after when Jacob Ramsey’s cross dropped for Watkins seven yards out but the striker could only head straight at Sa.
Wolves’ organisation and concentration was crucial and Craig Dawson was alert to halt Buendia as Villa probed for a leveller but there was still the occasional gap for the hosts to exploit.
Just before the break Costa teed up Matheus Cunha to plant a half volley over from the edge of the box then, less than two minutes after the re-start, Pedro Neto found Costa who was denied by Emi Martinez.
Chasing four successive top-flight home wins for the first time since 1975 Wolves at least begun the second half with more attacking purpose having spent the majority of the first frustrating Villa.
Ashley Young swept a shot wide but Villa could not find the same spaces as before and needed Matheus Nunes to get in a tangle in front of goal from Neto’s cross not to concede a second.
But, with 19 minutes remaining, the visitors blew their best chance to grab a point when Douglas Luiz’s free kick dropped for Mings six yards out, only for the defender to volley over.
Guardiola acknowledges Man City 'are fragile' after fifth straight defeat
Manchester City manager Pep Guardiola acknowledged that he is in new territory following their 4-0 home defeat to Tottenham on Saturday, which was their fifth on the bounce.
But despite that, he was not going to hit the panic button, with his side second in the Premier League table and five points behind leaders Liverpool.
"We are fragile at the moment, we could not defend properly. We started well, struggled to score and then conceded. Then the situation is more difficult," he told Sky Sports after the match.
"I've been here as a player, maybe not as a manager, first three games at Barcelona we lost. [In the] last eight years, the results have been there, it would be a mistake to change the approach.
"There are no fairytales in life and sport, sometimes you have to live through these situations. You have to accept it. You can't blame each other, stay together, continue to do what we have done.
"Run away? Absolutely not, we have to stand up more than ever. What will define us is when we fail, we stand up and face it."
Guardiola is by some distance City's most successful manager of all time, having won 18 major trophies at the club, including each of the last four Premier League titles.
His side visit league leaders Liverpool next week and could trail them by eight points by the time kick-off comes, with Arne Slot's side playing a day after City this weekend.
"I don't know what will happen this season, but not for one second will I not believe in these players," said Guardiola.
"There is no team in the world that can sustain success for eight, nine, 10 years in a row.
"Of course, everything is not fine, but what we try to do is analyse it, let's go to next game and see what happens."
On the individual performances of his players, Guardiola lamented the fitness issues that his side has faced in recent weeks.
"Chances were there. The moment they create the chances, the build-up, we couldn't handle the duels like normal. Now we're struggling a little bit," he told BBC Sport.
"It cannot happen. When you play top level teams, we can concede chances but it's part of process. In our situation, it's a bit tougher.
"The players came back late [from international duty]. There were a few reasons we're not able to be consistent.
"Of course, Rodri is important, but we knew that for many months. But [John] Stones can only play 45 minutes, Jack [Grealish] has been injured many times, Kevin [de Bruyne] two months and five months.
"We have to come back and freshen our minds. The season is so long, many things can happen."
Pep Guardiola acknowledges City 'are fragile' after fifth straight defeat
Manchester City manager Pep Guardiola acknowledged that he is in new territory following their 4-0 home defeat to Tottenham on Saturday, which was their fifth on the bounce.
But despite that, he was not going to hit the panic button, with his side second in the Premier League table and five points behind leaders Liverpool.
"We are fragile at the moment, we could not defend properly. We started well, struggled to score and then conceded. Then the situation is more difficult," he told Sky Sports after the match.
"I’ve been here as a player, maybe not as a manager, first three games at Barcelona we lost. [In the] last eight years, the results have been there, it would be a mistake to change the approach.
"There are no fairytales in life and sport, sometimes you have to live through these situations. You have to accept it. You can't blame each other, stay together, continue to do what we have done.
"Run away? Absolutely not, we have to stand up more than ever. What will define us is when we fail, we stand up and face it."
Guardiola is by some distance Manchester City's most successful manager of all time, having won 18 major trophies at the club including each of the last four Premier League titles.
His side visit league leaders Liverpool next week and could trail them by eight points by the time kick-off comes, with Arne Slot's side playing a day after City this weekend.
"I don’t know what will happen this season, but not for one second will I not believe in these players," said Guardiola.
"There is no team in the world that can sustain success for eight, nine, 10 years in a row.
"Of course everything is not fine, but what we try to do is analyse it, let’s go to next game and see what happens."
On the individual performances of his players, Guardiola lamented the fitness issues that his side has faced in recent weeks.
"Chances were there. The moment they create the chances, the build-up, we couldn't handle the duels like normal. Now we're struggling a little bit," he told BBC Sport.
"It cannot happen. When you play top level teams, we can concede chances but it's part of process. In our situation it's a bit tougher.
"The players came back late [from international duty]. There were a few reasons we're not able to be consistent.
"Of course Rodri is important, but we knew that for many months. But [John] Stones can only play 45 minutes, Jack [Grealish] has been injured many times, Kevin [de Bruyne] two months and five months.
"We have to come back and freshen our minds. The season is so long, many things can happen."
Postecoglou hails "outstanding" Maddison after Tottenham crush champions City
Ange Postecoglou heaped praise on James Maddison after he bagged a brace to help beat Manchester City 4-0 at the Etihad Stadium.
Maddison scored twice on his 28th birthday to give Spurs a 2-0 lead at half-time before Pedro Porro and Brennan Johnson scored to hand the Premier League champions their fifth straight defeat across all competitions.
The England international, who joined Tottenham from Leicester City last year, has now scored five goals and created three assists in the Premier League this season.
"[Maddison] was outstanding," Tottenham boss Postecoglou told Sky Sports after the win.
"You have to be against City, and Madders was great. He’s gone through a lean spell but I never doubted his ability. I thought the kind of game we were expecting would suit him.
"I thought we'd need his ability to keep the ball in tight midfield areas. I take it personally on myself if players aren't reaching their level, that’s on me to get him back up there."
With the win, Tottenham moved into sixth place and are only four points behind Pep Guardiola's side, who are in second place.
It was just the third time a team won away against the reigning Premier League champions by four goals or more.
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