The USA international has been heavily linked with a summer move to Liverpool with some reports suggesting that his decision to stay in West London was in a bid to force a transfer to Anfield.
But a club spokesman indicates that there has been no bust-up with manager Martin Jol despite reports and says that Dempsey is simply remaining in London to work on his fitness with new recruit Hugo Rodallega.
"Clint and Hugo Rodallega are both staying in London to work on their fitness at the training ground,” the spokesman told Goal.com.
"Neither are scheduled to feature in the weekend friendly against Nice which is the reason neither have travelled.
"We are not to prepared to comment on any further speculation."