The striker's future at Eastlands has been the subject of constant speculation with Tevez eager to leave England and be closer to his family in his native Argentina.
His representative, Kia Joorabchian, has claimed the forward is now prepared to stay as he is ready to bring his family over to Manchester from South America.
"I don't think speculation about Carlos leaving is fair at the moment," Joorabchian told the Daily Star Sunday. "I don't think money is a consideration.
"Maybe it's a case of his family coming over to him. That's something he's trying to sort out. I'm sure in the next week he will sort the family issue out.
"Once he does, he will announce it and everyone will be in a better place."
Joorabchian insists Tevez has not asked to leave and that he remains committed to City's cause by helping them win more trophies after leading them to FA Cup glory last season.
"Carlos has always had a goal. The goal was that City needed to get into the Champions League and win a trophy," added Joorabchian.
"And they won a trophy and achieved that goal. Now that has given him a tremendous feeling. He held that trophy with a lot of pride.
"If you look at the team they are going to get stronger and stronger and, if Carlos stays, they would be my favourite to win the title.
"I'm sure that will be a factor in his mind and, the fact that City fans have embraced him, will count for a lot along with his great relationship with the supporters.
"I think all these factors will be positives for him to stay. Carlos has not made any decision to move.
"We have not asked to leave the club."