The 29-year-old American has reportedly already dropped the bombshell that he wants to rub shoulders with Europe’s elite to Cottagers boss Martin Jol according to The Mirror.
Dempsey struck 17-goals for the West London club this season and Jol had hoped to tie down his star asset to a new deal on the back of his impressive form in the Premier League.
But their efforts appear to be in vain with interest from the Gunners seems to have turned the midfielders head after he acknowledged that he is now ready to leave Craven Cottage after five-years to play at a higher-level.
He said: “Fulham have offered a contract and I just wanted to focus on my football and finish off the season strongly.
“I’ve always said I’m grateful for everything Fulham has done for me.
“Some of the best memories I have in soccer have been there. But the fact remains that I want to play in Champions League. I want to play at the highest level possible.
“I want to do as much as I can and look back and say I made the most of all the opportunities I’ve had.
“I’m always going to want to play in Champions League. It’s something that I’ve never done. I want to test myself.”
Speaking to Sports Illustrated, Dempsey admitted he isn’t thinking about a return to the Major League Soccer where he spent three years playing for New England Revolution before joining Fulham in 2007.
“If I wanted to be comfortable, no offence to MLS, but I would’ve stayed in MLS.”
“I would have been closer to my family and friends – but I’m a risk-taker.”