The Slovenia international joined the Nerazzurri earlier in the month from Udinese, and was immediately expected to replace the veteran custodian, who experienced a dip in form in his last two seasons at the Giuseppe Meazza.
However, Handanovic claims he is not paying attention to speculation surrounding his Brazilian colleague, telling Tuttosport: "There is no problem if Julio Cesar stays. I will continue to work and behave as a professional.
"If I want Cesar's No.1 shirt? That is not important to me. I have had shirts with many different numbers on them."
Handanovic has been allocated the No.21 shirt at Inter.