The Championship winners are keen to bring the ex-Chelsea midfielder back to London.
Matic, 33, has played a key role at United lately and is still very capable at the top level.
But he is choosing to move on rather than be part of Erik ten Hag’s revolution.
Foreign interest in Matic is great but he could get a deal that works for him at Fulham and can slot back into life in London, after two great spells with the Blues.
Matic revealed he would leave United last month in a lengthy statement on social media.
He wrote: “After a great deal of thought, I have decided that this season will be my last with Manchester United.
“I have informed the board, the manager and the players of my decision.
“It has been a huge honour and a privilege to play for this great club. A big thank you to the fans for their unwavering support.
“I will now give everything until the end of the season to help my teammates finish as strongly as possible.”
He then had a TV interview after the 1-1 draw with Chelsea where he said “United will stay forever in my heart – together, of course, with Chelsea as I also played for Chelsea.”
United legend Roy Keane was not impressed with the interview and blasted the Serbian that night.
The Irishman scoffed: “Matic talking about I’m leaving…’I’ve had a great time, Man Utd will always be in my heart .. oh, and Chelsea by the way.. oh, and Benfica – don’t forget them’.”
The Cottagers are continuing to plan ahead and top scout Brian Talbot has watched Nottingham Forest centre-half Joe Worrall twice in the play-offs.
Worrall will stay at Forest if they go up but has a host of clubs after him if Reds miss out.
Leicester and West Ham are also holding on for that outcome.
Fulham must strengthen defensively to survive in the Prem, especially with their kind of attacking football leaving them wide open at times.
