An opening offer has been made to the 29-year-old midfielder.
"I have always thought of Fellaini as a player with special qualities".
The Belgian was handed an extension on his existing contract back in January and has been an influential member of Jose Mourinho's squad, claiming goals in the League Cup and Europa League semi final alongside adding vital grit and physical presence to Man United's midfield.
Fellaini has less than a year left on his current deal at Old Trafford.
The United boss says he "feels weaker" when the Belgian is missing from his squad and blocked his proposed moved to Galatasaray in the summer after the Turkish side had agreed terms with the player, suggesting that he may be willing to bend the rules again to get Fellaini a longer contract.
The report, however, adds that Fellaini wants more than the one-year extension now on the table.