There are growing reports Simone Inzaghi is considering a proposal from Milan, and not Juventus, in order to leave Lazio.
The tactician is fresh from winning the Coppa Italia with a 2-0 Final victory over Atalanta.
According to the Corriere della Sera and La Gazzetta dello Sport newspapers, Inzaghi received a call from Milan to ask about his availability.
He would be following in the footsteps of his older brother Pippo, who was the Milan Coach for the 2014-15 season.
Lazio are still determined to keep hold of Simone Inzaghi and have put forward a new contract worth €1.8m per year plus performance-related bonuses.
His current salary is €1.2m per year at the Stadio Olimpico.