The 17-year-old has got the attention of the Premier League big guns after a stellar season in the Championship.
And The Times are claiming United are trying to steal a march on Tottenham by convincing him to move to Old Trafford if he quits Fulham at the end of the season.
Jose Mourinho wants another full-back added to the ranks with Ashley Young the first choice on the left hand side of defence.
However, the England international is still considered more of a winger, while No2 left-back Luke Shaw has had many high-profile bust-ups with Mourinho and could leave at the end of the season.
Tottenham are still the preferred choice of Sessegnon — who won Championship Player of the Year, Young Player of the Season, Apprentice of the Year, and was named in the Team of the Season and EFL Club Developed XI.
Spurs reportedly want competition for Ben Davies for a first-team place with Danny Rose likely to be sold in the summer.
Fulham are still chasing promotion but failure to reach the Premier League will seriously dent their chances of keeping Sessegnon.
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Mourinho could look elsewhere if Tottenham do manage to lure the teenager to White Hart Lane.
Spurs’ Rose is a target along with Celtic defender Kieran Tierney and Juventus and Brazil star Alex Sandro.
