Before the kick off Chelsea were only two points ahead of the Wolves in the race to secure qualification for the next season of the Champions League after Nuno Espirito Santo has won 2-0 at West Ham United on Saturday.
And it looked as if 19th-placed Villa were on their way to pull an upset when Kortney Hause delivered in his first top-flight goal just before the break.
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But a quickfire double from Christian Pulisic and Olivier Giroud in the second half saw Chelsea take the three points.
This means Wolves, who are sixth, now trail fourth-place Chelsea by five points, while Manchester United are fifth due to better goal difference.
But a number of fans have taken to social media after the game, at the request of Chelsea are not the team of Wolves are rivals in the final weeks of the season.
Instead of this, a few supporters said Leicester City are more likely to be caught. The Foxes are eight points ahead after having returned to action with a 1-1 draw against Watford on Saturday.
But Brendan Rodgers side, currently third, facing several sides in the top 10 in their race with matches against Chelsea, Manchester United, Sheffield United, Tottenham, Crystal Palace and Arsenal to come.
One Wolves fan said on social media: “from My point of view on the European spots. #wwfc are not after Chelsea. They are, after Leicester. ”
“I had the same feeling that they are catchable, but I have not had a look at their fixtures to see if it is realistic,” says another.
A third claimed: “100% catchable. Over rated team. ”
“Okay,” another supporter said.