Ashley Barnes, who like Jimenez knows where the net is, had notched his fourth goal in five Premier League games to put the Clarets ahead after 13 minutes.
However, Nuno Santo’s men dug in and equalised deep into added time after Erik Pieters tripped Jimenez inside the penalty area.
Referee Craig Pawson pointed to the spot and after the decision was confirmed by VAR, Jimenez coolly stepped up to slide the ball past goalkeeper Nick Pope for his first Premier League goal of the season.
Sean Dyche’s side had enough chances to have sealed the points well before that as Burnley took advantage of Wolves’ busy start to the campaign.
Last season, Burnley made a slow start after playing in the Europa League qualifiers and Wolves’ schedule seems to be having a similar effect.
Nuno Espirito Santo’s side beat Torino 3-2 in Italy on Thursday night but this was their eighth game of the season so far and Wolves struggled to raise their game in the Molineux heat.
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Wolves did not register a shot on target until the final few minutes – but after Burnley had controlled long periods of the game.
Barnes opened the scoring with a superb strike after move which he stared. Wolves defender Ryan Bennett failed to deal with a through ball from Ashley Westwood and Dwight McNeil set up Barnes to fire in from 22 yards.
It could have been worse for Wolves four minutes later as defender Ben Mee headed against the crossbar with goalkeeper Rui Patricio just managing to stop the ball going over the line from the resulting scramble.
But Burnley should have gone two up after 32 minutes when striker Chris Wood got the better of defenders Bennett and Conor Coady. And with only Patricio to beat, the Portugal goalkeeper managed to smother Wood’s shot.
Wolves began to settle and the recalled midfielder Morgan Gibbs-White shot just wide of the near post, but both Barnes and Westwood missed chances to increase Burnley’s lead.