City's fifth defeat of the season left them in fifth place, 10 points behind leaders Chelsea, and prompted Guardiola into a period of soul-searching.
But now Jorginho is doing some running, and has made it clear he's chuffed with claims Pep Guardiola is keen on taking him to the Etihad.
He has over two years remaining on his current contract, but City told Sky Sports News in December last year they meant to open discussions with him over a new deal.
Guardiola told a news conference that he isn't aware if talks had already begun but insisted Sterling, who is under contract until 2020, is a big part of City's plans.
"In terms of contracts I'm not the guy, it's Txiki [Begiristain, the director of football] that is talking about that". "The problem with Sergio is he is so important for us".More news: Expectations from meeting in Varna — Turkey-EU
More news: Despite Resignations And Reports, Trump Says Lawyers 'Want To Represent Me'
More news: Former Catalan leader Carles Puigdemont detained in Germany
Sterling was man of the match in England's 1-1 draw against Italy, and from being a fringe player a year ago is now considered a certain starter when England take to the field in Russian Federation in June.
The 20-year-old forward scored the only goal of the friendly between Brazil and world champions Germany on Tuesday, suggesting that after spending the first two months of 2018 recovering from a knee injury, he could be about to enjoy a breakout tournament at the World Cup. "There is no doubt we have to keep him".
"John feels fine now, but he will be unavailable for Everton because he must wait seven days", the City manager said. "I don't like to analyse what happened last season". "But I have still tried to prepare for Everton as if it is the most important game of the season".
Do you think Sterling should be rewarded with a big salary increase?
"At that moment I felt we'll try until the end but if it doesn't work, I'll go home, another one will come in and someone will try in his way".