The 19-year-old has been a long-term target for Spurs boss Mauricio Pochettino and the clubs are close to agreeing a deal.
Sessegnon impressed during his debut season in the Premier League, scoring two goals and providing six assists in 35 appearances, and featured for England U21s during this summer's European Championships.
He missed Fulham's opening-day defeat at Barnsley in the Sky Bet Championship last Saturday due to a hamstring injury.
