The French Under-19 international has just one year remaining on his contract at Craven Cottage, and is drawing interest from the top flight.
Fulham striker Moussa Dembele has avoided making a decision regarding his future, in an interview with Sky Sports, though he did admit that he was flattered by apparent interest from the likes of Everton.
Speaking to Sky, he said: “I’m very flattered by the interest from top level clubs. I always want to improve, but I love Fulham and I respect Fulham, so I work hard to do my best.
“I’m very good at Fulham. I know everyone and I’m going to take my time to make the right choice.”
“I want to take my time with my agent, my family and the people around me to make the right choice.”
Dembele arrived from Paris Saint-Germain in 2012 as a highly promising young attacker, and he is slowly proving that he may well have what it takes to make it at the top level.
The striker made three appearances in Fulham's doomed Premier League campaign last year, and he added to that with 15 first team appearances this season.
The 18-year-old continued to add experience to his game with matches in both the Championship and the cups. Indeed, the young Frenchman got on the scoresheet for the first time, scoring a brace to put the Cottagers 2-0 up against Derby County, even though the Rams came back to win 5-2.
Next year promises to be a big campaign for the forward, and it is possible that if he stays at Craven Cottage, Dembele will have the chance to really collect upwards of 20 appearances - vital for a player of his age.
However, given his comments, it is possible Dembele may be considering switching to a club such as Everton who are in the Premier League, and, in the case of the Toffees, have one of the best records for bringing young players through in the Premier League.