The 23-year-old has struggled for action during the 2020-21 campaign, making just four appearances at club level, with just one of those outings coming in the Premier League.
According to the Daily Mail, Milan are in talks over a loan switch for the defender, who is keen to move to Italy to further his development.
However, the report claims that the Serie A giants are attempting to agree a future purchase option, with a £27m fee already being discussed between the two clubs.
Tomori has found it difficult to even make the bench in the Premier League this season, while he was only a late substitute against Morecambe in the FA Cup last weekend. body check tags ::