Reports from England suggest Coventry City, ambitious after their promotion to the Premier League, would like to bring the centre-back to the CBS Arena to work under manager Frank Lampard, following the club's other big-money additions so far this window.
Elsewhere in the English game, interest has also emerged from Newcastle United, who have already done business with Milan in the past after signing Sandro Tonali and Malick Thiaw in previous windows and could look to add another player from the Rossoneri's ranks.
For their part, Milan appear open to selling Tomori. The 28-year-old has just a year left on his contract, and the club is keen to avoid losing him for nothing when it expires next summer.
Tomori's connection with Lampard from their time together at Chelsea has been cited as a factor that could work in Coventry's favour, while Newcastle's need for defensive reinforcements after a demanding season gives them their own case for pursuing a deal.
With Milan's asking price expected to sit in the region of £13m-£16m and Tomori keen to prioritise regular football, his next move is likely to hinge on which of the two Premier League clubs moves first as the summer window progresses.
The England international has made more than 200 appearances for Milan since joining permanently in 2021 following a loan spell from Chelsea, winning a Serie A title at San Siro. He started 31 league games last season, but head coach Ruben Amorim does not consider him part of his plans, leaving the club to search for a buyer.
Tomori has previously resisted a return to the Premier League, having come close to a move to Tottenham Hotspur in an earlier window before opting to stay in Italy. Whether he takes a similar stance this time remains to be seen, though suitors on both sides appear increasingly serious about getting a deal done before the market closes.