The 29-year-old is yet to play for Chelsea since the arrival of manager Antonio Conte this season and appears increasingly likely to depart the west London club in the January transfer window.
According to the AfricanFootball website, the midfield hardman’s management team are in Italy to talk the two Milan clubs about a possible move.
“Mikel’s representatives are in Milan now to discuss with Inter. An agent is also proposing AC Milan, where he has some good connections,” the website quoted a source ‘close to the player’ as saying.
The Super Eagles skipper’s contract with Chelsea runs out in June 2017. He has also been linked with a move to French giants Olympique Marseille as well as several Chinese clubs.