The same story also says that there is a sense of acceptance at Fulham that the time may be right to let Sessegnon move on and leave the club.
Sessegnon made 35 appearances in the Premier League this season - 26 as a starter - but he is thought to be reluctant to make the step down to the Championship following the Cottagers' relegation.
Borussia Dortmund are also keeping tabs on Sessegnon, who they are looking to sign on a pre-contract next January. The 19-year-old had 8 goal contributions in 38 appearances netting the ball on two occasions in the hard 2018/19 season.
Manchester United are bound to be linked with a host of top players this summer as they look to rebuild after a disappointing campaign. This will sync with the pursuit of Sessegnon who is fairly young with a point to prove.
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Sessegnon has emerged as one of the most coveted young players in England in the past couple of seasons.
The 19-year-old at Old Trafford sounds like a good bet for the Red Devils who are going through a rebuilding phase themselves. His involvement in the squad is bound to bring a certain energy to the team which has been lacking at Old Trafford for quite some time now.
Fulham had a very poor season in the Premier League, where they finished 19th.
Fulham are likely to hold out for a fee in the region of £40m for the highly-rated teenager, though may have to settle to less as he enters the final year of his contract. The Red Devils were interested in signing the Englishman last summer, but no move materialized back then.