Fulham boss Martin Jol has urged Clint Dempsey to stay for the fans.
Arsenal and Liverpool are chasing the USA international.
"He knows what the fans think of him and hopefully it's enough for him to sign his contract," Jol said.
"I know that he will get even better. You talk to him and he wants to get better because, of course, he's not perfect. He's improving.
"We didn't know that he could take these free-kicks at the start of the season, so he never took them.
"But then against Bolton, out of nothing he scored in the top corner and he did it again today, so it's maybe something for the future."