Kessie is set to enter the final 12 months of his contract and there have been question marks raised over whether his long-term future remains at the San Siro.
And the uncertainty has placed a number of clubs on red alert, with La Gazzetta dello Sport in Italy claiming that Liverpool are eyeing up the talented 24-year-old.
This story has been reproduced from the media. It does not necessarily represent the position of Liverpool Football Club.