Wilson, 23, has chosen to leave Hearts this summer despite the club's promotion back to the top flight of Scottish football, and is now a free agent.
It has long been expected that Wilson would be signing for Celtic, with manager Ronny Deila recently telling Sky Sports that he did have an interest in signing the defender.
However, the Bhoys have since landed Manchester City centre back Dedryck Boyata, and with no move to Celtic Park seemingly forthcoming, Wilson could now return to Glasgow anyway - with Rangers.
Wilson started his career at Ibrox, joining as a teenager back in 2006, before emerging into the first team in the 2009-10 season - only to sign for Liverpool just months later.
After a torrid spell in England, Wilson returned to Scotland with Hearts in 2013, captaining the club to promotion this past season before deciding to end his contract at Tynecastle.
Now, The Sun believe that Wilson is 'close' to re-signing for Rangers, becoming Mark Warbuton's first signing having only been appointed at Ibrox earlier today.
Having allowed the likes of Lee McCulloch and Bilel Mohsni to leave the club on free transfers this summer, defensive reinforcements are needed - and Wilson appears to be Warburton's first choice target, with a move potentially on the verge of completion.