Arsenal target Dempsey can't guarantee Fulham stay
Arsenal are being linked with a £10 million move for the USA international.
The 29-year-old said: "We'll just have to see what happens.
"I am talking with the club, but we'll just have to see what happens in the summer.
"Some of my best memories have been at Fulham. I still have this season and one more to be at the club. I just want to wait until the season has finished before I talk about anything.
"I want to focus on this season, I want to focus on my football and that other stuff can take care of itself after the season."