The 23-year-old Serbian has scored six goals in 11 top flight games this season.
With the Bianconeri set to miss out on Champions League, holding onto their star players may prove to be a difficult task.
Manchester Evening News report that United boss Erik ten Hag may allow Anthony Martial to leave the club this summer. Hence, acquiring a new centre-forward will be a top priority for the Red Devils.
Man United may face fierce competition from the Premier League leaders Arsenal for Vlahovic’s signature though, as the Gunners look set to play in the Champions League next season and they aim to upgrade their squad in preparation.