The Brazilian has been in brilliant form recently and he has scored five goals in his last five games for the Blues.
The 29-year-old, however, has not always been a regular under Antonio Conte and it has raised doubts over his future.
And now, according to Calciomercato, Milan have added Willian to their shortlist for this summer’s transfer window.
The San Siro club have reportedly been scouting the winger since the start of January and they have been impressed.
Milan have made signing a wide forward a priority this summer and are watching a number of players.
Lyon’s Memphis Depay is also on their radar, while Bayer Leverkusen’s Leon Bailey is an option too.