The Belgium international has emerged as a target for Premier League giants Chelsea and Manchester United, but insists he is happy to continue playing at Craven Cottage
Dembele signed for the west London club in August 2010 and has scored seven goals in 60 Premier League appearances for the Cottagers.
The Belgian initially moved to the club as a striker, but has since been deployed further back, first in an attacking midfield role, and more recently in a deeper-lying central midfield role.
"I'm very happy at Fulham, so I'm not in a hurry," he told Sky Sports.
"Of course, it's normal - they are big teams. In the end, we will see what's good for me."
Goal.com exclusively revealed last month that Manchester United, Chelsea and Manchester City are interested in signing the 24-year-old, who has only one year remaining on his contract at Fulham and could leave the club for as little as £10 million this summer.