United was strongly connected to the 28-year-old with the current number one Andre Onana who cannot convince himself since his move in 2023.
According to Transfer Guru Fabrizio Romano, Milinkovic-Savic is in conversation with Napoli about a potential of € 18 million (£ 15.3 million) switch to the side of Antonio Conte.
The Serbia International and brother of the former Lazio -Midfielder Sergej, was a highlight for Torino last season, in which 11 clean sheets held and admit 44 goals.
Ruben Amorim's side is supposed to be happy to sign a new keeper this summer, because the Portuguese manager hopes to build the side in his image.