The 29-year-old midfielder still has two years left to run on his current contract and insists he has no plans to break that agreement any time soon.
He continues to rule nothing out, with reports having suggested in the recent past that the likes of Everton remain keen on acquiring a France international of considerable experience.
Mavuba is, however, prepared to leave his fate in the hands of Lille.
He will not look to force the issue and would be more than happy to spend the 2013/14 campaign working with Rene Girard - a coach he has previously played under for the France U21 side.
Mavuba said in L'Equipe: "If there's an offer that everyone's happy with, why not? But I have in my mind the idea to go again for another year.
"Talks with the coach have confirmed that he's counting on me - that, in his eyes, I'm a link between him and a young squad.
"You don't know what can happen between now and September. I'm not worrying about that. And nobody at the club has told me to my face that I have to leave."