According to Gazzetta dello Sport, 26-year-old Calhanoglu is likely to turn down Milan’s offer of a new contract.
His current deal runs until June 2021, making a renewal a top priority for Milan.
He has been inconsistent for the Rossoneri but just recently has been in outstanding form.
Since the Serie A restart, Hakan has scored four goals and delivered seven assists in 10 matches.
His form has led to an increase in his market value, with Milan now rating him at €25m.
However, if he agitates for a move, the price could tumble with Leipzig and Hertha watching developments closely.