That’s according to Sky Sports who reckon the talented left-back could be on the move.
Sky Sports say only a mega bid would force Fulham into a sale.
If United were to prise him away from Craven Cottage, it’s suggested he’d immediately be loaned back to the Championship side.
Sky Sports presenter Aidan Magee said: “We’re hearing there’s significant interest from the north west and Manchester United.
“From Fulham’s perspective, only a bid that’s too go to refuse would be acceptable.
“If United sign him they’ll be loaning him back to the Championship club.
“Sky sources believe Fulham will stay strong – at least until the end of this window.”
“Fulham star Ryan Sessegnon is wanted by Tottenham and Man Utd”
ESPN suggested last week that Spurs have already had a £25m bid snubbed by Spurs.
Spurs still need to bolster their ranks having only made their first summer signing in recent days.
Davinson Sanchez was drafted in from Ajax and more fresh faces are expected before the transfer window shuts.
Sessegnon committed his future to the Cottagers until 2020 in June.
And speaking at the time, the 17-year-old was delighted to pen professional terms.
He said: “I’m excited to see what’s in front of me at this club, hopefully we can all push on now.
“Last year I got a lot of opportunities from the gaffer, and I just want to continue that.”
Sessegnon played the full 90 minutes in Fulham’s 1-0 Championship defeat to Sheffield Wednesday on Saturday.
The west Londoners will face Ipswich at Portman Road next.