Viviano has been mooted as a replacement for the Brazilian.
Julio Cesar said: "Viviano? The only other goalkeeper I'll talk about is Luca Castellazzi, as Inter have a great understudy in him. There's no problem.
"I have no intention of leaving the Nerazzurri, because in August I want to beat Milan in the Italian Super Cup and then take back the Scudetto.
"Before 2014, I want to lift the Champions League again. The truth is I have the enthusiasm of a child and am determined to start for Brazil in the World Cup we host in 2014. To achieve that, I need to keep winning for Inter, so I'm hunting for another Treble."