Media reports are suggesting that Blues, along with Newcastle United, are keen on the former Everton left back.
Steve Bruce has made no secret of his desire to sign cover in the left back position - he gave a trial to Olivier Bernard whilst the squad were on their pre-season tour of Norway in July although that possible signing failed to materialise and Bernard is now training with Bolton.
Twenty-five-year-old Ball would be available on a free transfer and it is understood Rangers are keen to move the player on in an effort to reduce the wage-bill at Ibrox.