The Japanese striker played a key role as the Foxes won the Premier League last term and he has already made ten appearances this season, scoring three goals.
But now reports in Italy have suggested that Milan are hoping to prise him away from the King Power Stadium in January.
The San Siro giants are in the market for a new forward when the transfer window opens and have drawn up a list of targets.
And, according to Premier Sport, Okazaki is among them, although it is unlikely that Leicester will want to sell him.