Reds boss Brendan Rodgers has made his interest in the USA international known, but the Cottagers insist they have received no bids for the 29-year-old.
Dempsey, who netted 23 goals for Fulham last season, is entering the final year of his deal in West London having joined the club from New England Revolution in 2007.
Jol is reluctant to discuss the transfer talk surrounding the American but says he wants to keep him at the club.
"I don't want to talk about that (speculation)," the manager told the Fulham Chronicle.
"I love Clint, he scored a lot of goals and I want to keep him."
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.