But Wolves levelled just before the hour mark when impressive youngster Morgan Gibbs-White, who was outstanding on his full Premier League debut, evaded two challenges and threaded a pass through to Jiminez, who slotted the ball between the legs of Blues keeper Kepa.
"I think everybody enjoyed it", he said.
"I am really very anxious, not about the result but for the fact we didn't respond to the first goal".
It leaves Chelsea in fourth spot in Maurizio Sarri's first season in charge, ten points off City in top spot. "When I am on the pitch I can't have any negative thoughts when I am in and around the team because it will affect the team".
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It took 18 minutes for Chelsea to take the lead, with Ruben Loftus-Cheek trying his luck with a shot from outside the penalty area, which Conor Coady headed into the Wolves net.
There would have been nothing fortunate about Willian's free kick four minutes later had it gone in, with Patricio getting his fingertips to the dipping strike to prevent it from dropping into the top corner.
And Wolves should join the growing list of interested parties as Nuno Espirito Santo considers his midfield options.
But Wolves, beaten in five of their previous six matches, hit back by scoring twice in the space of four second-half minutes.
Nuno, who has insisted that his team do not lack any confidence, will need to see some improvement if they are to get a result against Chelsea on Wednesday night.
"That is credit to the boys and the the crowd for how they were noisy and backed the team".