The 24-year-old is out of contract in the summer, and has shown no intention of renewing his contract at the San Siro club.
Kessie can begin talking to clubs about a pre-contract in January, and 90Min suggests he may have eyes for the Premier League.
Milan are still hopeful that Kessie will renew his contract, with manager Stefano Pioli saying as much to the media last week.
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