Newcastle, Liverpool, Manchester City and Tottenham are all believed to be keen on taking Bridges on loan with a view to a permanent deal at the end of the season.
Bridges wants to get regular first-team action and has been frustrated by a substitute role at Leeds this season as he looks to build up his fitness after a lengthy battle against injury.
Bridges has just six months to run on his current contract and it seems that he will be leaving Elland Road at the end of the season.