Jesus pushed the ball home with a deflection off Jorginho after a goal mouth melee in the 53rd minute following City’s 10th corner of the game.
It was the game’s first shot on target.
The goal sparked the match into life, forcing Chelsea to attack, after a first half of intense pressure from City and attritional defending from the home side.
“We prepared to play well,” he told reporters.
“Sometimes we don’t play well, but if we suffer a little bit we can attack. We have a lot of top players to create chances and try to score goals.”
The visitors had pressed Chelsea from the outset and enjoying 70 per cent possession in the first half with Kevin de Bruyne, Jack Grealish and Phil Foden buzzing round Chelsea’s area.
At the other end, Timo Werner and Marcos Alonso had chances, and Ederson had his share of goalkeeping duties to keep out crosses from Cesar Azpilicueta and snuffing out goalmouth challenges.
Ruben Dias also had an important hand in preserving City’s clean sheet, keeping control of Chelsea target man Romelu Lukaku, who found little space to strike.
“We’re disappointed with the result,” Azpilicueta said.
“It was not our best performance. Especially in the first half it was hard to get out. We didn’t create chances and lost the ball too easily.
“After the goal we had a good reaction, but it was not enough to get something from the game.”
City climbed to second in the table, level on 13 points with third-placed Chelsea. (Reuters/NAN)