Having joined the Bavarian giants from Olympique de Marseille in 2007, the 30-year-old has since become a key player at the Allianz Arena, and had stated before that he would be willing to retire at the German club.
While the Frenchman still has a deal until June 2015, he insists he wants to open up talks over a new contract.
"I'd be glad to [sign a new contract], I'm very happy here," the Frenchman told Kicker. "If it's possible to sign a new contract? Why not?"
Ribery has scored nine goals in his 39 appearances in all competitions this season, setting up 14 more.