The centre-back’s current deal runs until the end of the season whereby he will become a free agent.
He has missed only a handful of games in that time and has accumulated 200 appearances for the club.
The 29-year-old is one of six Rangers stars on expiring deals and with no deal having been signed there has been a belief that he could return to England in the summer.
However, the club’s managing director Stewart Robertson revealed there is still hope a new deal will be signed.
“We are not resigned to that at all," he told Sky Sports. “Ross Wilson is having talks with all the players whose contracts expire in the summer."
Rangers have already recruited Hearts star John Souttar for next season on a pre-contract deal.