The Argentina international is under contract with the Premier League champions until the summer of 2014 but has been regularly linked with a return to South America.
City's football administration officer Brian Marwood said last month that the Etihad Stadium side would be holding talks with the former West Ham and Manchester United player in the summer over extending his stay.
After starting his career with Boca Juniors, Tevez spent two years in Brazil with Corinthians before moving to the Premier League with the Hammers in the summer of 2006.
And the Sao Paulo-based side's director of football, Edu Gaspar, insists no reunion is planned as they are not looking for striking reinforcements.
Gaspar was quoted by Lancenet and Terra as saying: "At this moment we have no interest in Tevez, we'll sign players for the positions we need.
"We don't seek a player because he is or might become important. If we need a player and we see that is someone who we need, we go after him. We will fight to sign him.
"Our idea is to keep the club always on the top. If we are not the best, we have to fight to be among the best.
"Many people said that Corinthians didn't need to make signings, but we brought in three great players - Pato, Renato Augusto and Gil."