The Dutch manager reveals that the Cottagers remain hopeful of extending the USA international's contract and talked down potential interest in his side's top scorer
The 29-year-old's contract expires next summer but the Dutchman confirmed that there is an offer on the table to keep him at Craven Cottage.
"As you know, we talked to him and hopefully he will sign a contract to keep him here for the next three years," Jol told reporters. "If not, he's still our player because there is no club that has made an approach for him."
Dempsey has scored 22 goals this season in all competitions, including 16 in the Premier League, helping Fulham up to ninth as things stand.
The Texan's scintillating form hasn't gone unnoticed, with Liverpool chairman Tom Werner telling Goal.com that "any team would be lucky to have Clint Dempsey".
Jol, however, took the comments merely as praise for his player and not anything more insidious.
"Of course it's nice if they are positive about him. I'm very positive about a few Liverpool players because I like them a lot but it doesn't mean we can afford to buy them," he observed.
"If a manager does that, it's different because it's a tap-up, but if it's an owner, he probably doesn't know about the rules and agreements. I'm not bothered about it.''
Fulham take on Sunderland on Sunday and will finish the season against Tottenham a week after that, with Dempsey currently joint-fourth in the Premier League scoring charts.