The People says the Sunderland player has emerged as a possible signing since Harryâ€™s bid for West Bromâ€™s Jonas Olsson was rejected, as he fears he will not be able to lure William Gallas from Spurs.
Bramble, 31, has started only three times in the league and is out of contract in the summer. Martin Oâ€™Neill is willing to let him leave for virtually nothing as Brambleâ€™s contract states that he must be offered a new deal if he plays five more games.
Oâ€™Neill wants to cut the Black Catsâ€™ wage bill, and Bramble will move if Rangers are willing to offer decent terms. However, any player now going to Loftus Road must accept a pay cut if they drop into to the Championship.