Aston Villa defender Joleon Lescott will have a medical in Glasgow on Thursday after holding talks about a potential move to Rangers.
The 34-year-old has been told he can leave Aston Villa.
Asked about his chances of signing a player of Lescott's calibre, Rangers manager Mark Warburton said: "I'm optimistic because we have to keep raising the profile of Rangers.
"Hopefully we are very near a conclusion on one or two targets"
Preston North End say striker Joe Garner is free to join Rangers, with a fee of about £1.5m having been agreed for the 28-year-old.