The manager, who led City to their first Barclays Premier League title since 1968 at the weekend, has a year left on his current deal.
Reports in England claim Mancini will soon be offered a four-year contract extension, but he has not heard anything, despite having recent contact with the club's owner.
"He (owner Sheikh Mansour) sent me a message of congratulations," Mancini said. "He was happy.
"We haven't spoken about a new contract but I am happy to work here."
Mancini is no newcomer to winning titles as a player and coach.
He led Inter Milan to three consecutive scudetti during his four-year spell in charge of the Serie A giants.
However, he rates Sunday's triumph highly in his achievements, as he became the second Italian manager to win the Premier League after Carlo Ancelotti's Chelsea in 2010.
"I have won in England, in the home of football masters," he said. "For an Italian this is an immense joy.
"I am proud to be Italian and to represent my nation in the best way.
"Our country is going through a delicate time but I am convinced we will come out of it.
"I dedicate this title to those who love me, to those who have worked to achieve it, and the City fans. I saw a fan in tears in Swansea after losing 1-0 and realised how much this team is loved."
