The 46-year-old Italian's contract expires in the summer of 2013 and discussions are yet to start over a renewal of that deal.
However, Mancini has insisted that he is not worried by the lack of talks and is instead targeting a long stay at the Etihad Stadium.
"I would like to stay here for many years in the future but it is not important, my contract," he told a press conference. "After this year I have one more year and I don't have a problem with this.
"I haven't talked to the club but at the moment it is not important."
Mancini's City reached the Premier League summit with a 4-1 victory over Aston Villa at the weekend.