Dembele joined Fulham from Dutch side AZ Alkmaar two years ago.
The 24-year-old is keen to continue playing for manager Martin Jol at Craven Cottage.
“I’m very happy to stay at Fulham, especially because of the boss,” he told the Fulham Chronicle.
“I think it’s very important to have the backing of the manager and he’s a coach who gives me a lot of confidence – that’s why I feel I owe it to the gaffer as well.
“I think every player needs that and I’m no different. I go to training every day and work with joy. It’s a fantastic club and I’m not in a hurry to move anywhere.”
“I’m very happy with the change this year in the position I play because I’m a player who likes to have the ball as much as possible – and that is down to the manager as well,” he continued.
“I think I can hold the ball very well – and it’s an advantage to the team if I have a lot of the ball, so I like that position a lot.
“I’m also very happy with the way the season went. The club is doing very well and we have a very strong team with good players.
“Next year, everybody wants to do even better. I’m not sure what will be our target next season, because in a way it’s the club and manager who decide.
“I don’t know if it is realistic to try for fourth or fifth or sixth, but I think we should look to do even better than this season and last.
“Maybe we will have more energy because we don’t play in Europe this season and we can concentrate on the league.”
Dembele has been linked with the likes of Manchester United, Chelsea, Arsenal and Tottenham.