According to the Shields Gazette, Rangers want to sell the 28-year-old this summer as they plan to raise funds for a squad overhaul.
West Brom are keeping tabs on the player as well.
Tavernier has been inconsistent at the back for Rangers and it seems that he is an expendable asset for the Ibrox giants. It will be interesting to see if Villa or Newcastle make their move for him in the summer.
The 28-year-old is impressive going forward but he is defensively not good enough for a Premier League side.