Liverpool transfer target Clint Dempsey has not travelled with the Fulham squad for their pre-season training camp in Switzerland.
Dempsey, who scored 23 goals in 45 games for Fulham last season, held talks with manager Martin Jol and it was agreed he should remain in London and train with the youth team.
The Cottagers insist the decision was based purely on the 29-year-old's lack of fitness, rather than a desire to facilitate any move to Liverpool, who made an enquiry for Dempsey earlier this summer.
A Fulham spokesperson told ESPN: "Clint remained behind to work on his fitness along with Hugo Rodallega.
"Contrary to popular belief the player has not refused to go, he has not had a bust up with the manager, he and Martin Jol get on fine.
"Equally we have not had an offer for Clint and nor would the club welcome one."
Dempsey has previously said he is keen to play in the Champions League before the end of his career and is looking to move on this summer, with Liverpool seemingly leading the race for his services.
Fulham will play Nice in France on Saturday after spending the week in Switzerland.