The defensive midfielder has yet to agree on a contract extension with AC Milan, and he is expected to make a firm decision on his future in January.
However, there are a lot of clubs interested in his services around Europe, with the 24-year-old having impressed in recent seasons as a regular for the Italian outfit.
According to 90min, Kessie has turned down the latest contract offer from Milan, fuelling the speculation that he will depart the club in the summer.
There is also interest from the Premier League, as it was reported that several teams have asked his representatives to keep them updated about his decisions.
It has been suggested that moving to England is a priority for him, as Kessie believes the style of the English top flight is best suited to his game.