Dempsey has been dropped by Cottagers boss Martin Jol after agitating for a move to Liverpool, missing last weekend's 5-0 rout of Norwich.
The Reds have expressed an interest in signing the £7.5million-rated American forward, but have yet to table an offer, leaving player and club in limbo.
Jol is frustrated by Liverpool's conduct and feels a distracted Dempsey is unfit to play once more.
"It's the same situation. There has been no formal bid on the table and nothing has changed," Jol said.