The veteran is a confirmed target for Fluminense.
But the 38 year-old told ESPN: "I have a contract here, right? It's strange, because several things have come out and fans become very passionate.
"It's even boring for me. It's been only two months since I renewed with Chelsea, if I'm not mistaken, and I've always fulfilled my contracts.
"I only won't stay here if Chelsea decide they don't want me for next season.
"Or if the new coach arrives and doesn't want me to stay.
"I intend to fulfil the contract that I signed until next year and then, next year, we'll see what happens."
On Fluminense, Silva said: "I've always followed them since I left, I've always stayed very close. Every time I'm on vacation I go there, I do my training there. I have several friends there.
"There are many messages getting sent, saying 'come back soon'. There is great anxiety from them, especially when things are coming out in the press, some untruths.
"I even said to my wife, 'I don't know what meeting they're talking about claiming I'm close to a return', there's nothing.
"After another year, there would certainly be a desire to return."