A move to Craven Cottage is now looking increasingly unlikely due to the player's unhappiness with the terms on the table.
Lee's representative Kim Min-jae has confirmed that talks are taking place with a second Premier League club, with Portsmouth, West Ham United and Wigan Athletic rumoured to hold an interest.
"A new team has offered a deal with better conditions than what Fulham had offered," Kim told the Korea Times.
"We can't just wait forever for Fulham to up their offer, so we are now pushing the negotiations further with the new team."