Both clubs were heavily linked with a move for the 23-year-old during the January transfer window, but no deal materialised as the central midfielder stayed at San Siro.
Kessie has been a regular feature of the Milan team this season, making 23 Serie A appearances, 21 of which have been from the start.
However, Calciomercato claims that the Ivorian could still leave the Italian outfit when the transfer window reopens, with Wolves and West Ham still keeping tabs on his situation.
Wolves are thought to be leading the race for his signature, but are waiting for confirmation from the FA as to when they will be allowed to sign players in the wake of the coronavirus pandemic.
Kessie, whose contract with Milan does not expire until 2022, is expected to be available for around £25m. body check tags ::