Sessegnon helped Fulham to promotion to the Premier League last season, and the teenager is expected to play a key role for the Cottagers in the top flight during the current campaign.
Tottenham Hotspur are among the clubs said to hold an interest in Sessegnon, but the left-sided player has insisted that he is only concentrating on representing Fulham.
The 18-year-old told Sky Sports News: "You always see little bits and bobs when teams are linked with you, but I was always staying focused on playing for Fulham. That's my main focus - just getting my head down and playing for Fulham.
"Of course as a young player, when you get linked to these clubs playing Champions League football, it's always flattering."
Sessegnon played the full 90 minutes as Fulham lost 2-0 to Crystal Palace on Saturday afternoon.