Dempsey: Linked with Liverpool moveThe Anfield hierarchy normally keep transfer targets as confidential, but Werner has implied the club could be watching his fellow American.
Dempsey has scored 22 goals this season and, with just one year remaining on his contract, has also been linked with a move to Fulham's London rivals, Arsenal.
FA Cup finalists and Carling Cup winners Liverpool are expected to make changes to their squad this summer after an extremely disappointing Premier League campaign.
This would come after spending more than £80million on the likes of Jordan Henderson, Stewart Downing and Charlie Adam in the last close-season.
"We never talk publicly about transfer targets, however, any team would be lucky to have Clint Dempsey playing on their squad," said Werner.
Fulham, though, will fight to keep hold of Dempsey and manager Martin Jol has previously insisted the USA international is not for sale ahead of summer talks with the player over a possible contract extension.
Regarding the prospects of keeping Dempsey at Craven Cottage, Jol told Sky Sports in April: "Hopefully we will, because he's still here for next season as well. So we won't sell him, so that is easy."
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