The Mail on Sunday says suggestions that Tevez wants to return permanently to South America because he is homesick and missing his daughters Florencia and Katie - and that he has considered quitting the game - are viewed with suspicion by the City hierarchy two of whom he claims that his relationship with has broken down irretrievably, chief executive Garry Cook and administrator Brian Marwood.
It is, however, believed that Tevez, 26, has told those close to him that he plans to retire from the sport at the age of 30 anyway.
Given permission by the club last weekend to have a short overseas holiday, Tevez chose to go to Tenerife rather than Buenos Aires, where his daughters live.
And last week he was seen in the arms of his new girlfriend, the 18-year-old actress Brenda Asnicar, in London.
City contend that Tevez himself has no problems with the club or the people who run it and that the current situation is an extravagant attempt to improve his current contract which, according to informed sources, already stipulates that no other player can be paid more than he is.
It puts him alongside Yaya Toure on £200,000 a week, also meaning that, if he did leave, only a few clubs could afford to have him on their books.
A City insider said: "Carlos has been back training with his usual enthusiasm. He will not only return to the side against Everton on Monday, but he is determined to play a part in the team's push for as high a Premier League finish as they can achieve.
"The club have demonstrated where they stand. Carlos is going nowhere. Now all we want is to concentrate on winning as many matches as we can between now and the end of the season."