The 24-year-old has been on Rangers’ books since 2019, but does not appear to have a place in Steven Gerrard’s plans for the season.
With Barker not part of the English tactician’s plans for the campaign, he has been linked with a move away from Ibrox this summer.
The former Manchester City youth star has been briefly linked with a move to England, with clubs in the League One said to be interested.
While the Englishman has not found a club yet, he could seal a deadline day move away from the Scottish Premiership champions.
Barker is said to be attracting interest from unexpected quarters in the final hours of the transfer window.
The name of the club interested in signing the winger is yet to be known, but he could have a potential destination ahead of today’s transfer deadline.
Meanwhile, Nikola Katic is expected to join a club in Croatia on a temporary deal as he looks to get back up to speed.