The Hammers could be forced to sell Ba, along with players such as Robbie Keane, Scott Parker, Matthew Upson, Carlton Cole and Robert Green, should the club go down at the end of the season.
The Mirror reports that Aston Villa, Blackburn and Sunderland are all ready to launch moves for 25-year-old marksman Ba.
Ba has scored five times in 11 appearances for the Hammers since joining the club from Hoffenheim in January.