Sterling notched his second of the afternoon late on as the Citizens moved above Liverpool courtesy of a much improved goal difference, having played a game more.
"I don't see any indication from the manager that he is looking to do anything else".
Asked what he thought of Aguero's miss, Guardiola said: "He said to me he saw Kepa coming quick to close the space and he wanted to be precise, close to the post".
"Chelsea have had the week off after thumping Huddersfield last weekend but I don't think that win over the Terriers changes the fact that all is not well with Maurizio Sarri's team".
Pep Guardiola heralded one of the greatest performances of his Manchester City reign and praised his players' thirst for success as they continue their attempts to become the first team in a decade to retain the Premier League title. We need to understand the reasons. I am anxious about my team and the performance, but my job?
At this point, Chelsea fans began to open up Google Maps and six minutes later were following the route home as Ilkay Gundogan curled a tame effort in for a fourth.
"I just said to them thank you for what they have done", said Guardiola.
The record had been held by Eric Brook since1940, who had 158 goals to his name, but the Argentine equaled and then broke that record in an incredible attacking display at the Etihad Stadium.
Maurizio Sarri's have struggled to find consistency since seeing their unbeaten start come to an end in a 2-0 loss at Tottenham at the end of November.
Sarri stormed down the tunnel without shaking Guardiola's hand at the full-time whistle, but the City boss said it was not an issue. "This type of person always helps to make our football better, and he tries to do it. My first year was hard too".
"[Sarri] needs time and that depends on the believers, the owners, people in charge".
Barça's forward has 21 before Sunday's game against Athletic Club.
Chelsea sit sixth in the Premier League and face a fight with Arsenal and Manchester United to secure Champions League qualification for next season. They win that and they are leaders, with us behind. Jurgen Klopp's side must respond in their next league game, which happens to be against United at Old Trafford in two weeks. Chelsea create problems. 'My players were outstanding.