Scott Wright on a pre-contract agreement. revealed on Sunday night the 23-year-old was set to pen a three-year contract with the Premiership leaders.
And while the deal guarantees Wright will move to Glasgow by the summer, Rangers are expected to re-open talks on bringing him in this month.
Sporting director Ross Wilson insists the Scotland youth fits the club's "football identity" as he thanked Aberdeen for their "co-operation and professionalism" in negotiations.
Wilson said: “We look forward to Scott joining Rangers and we are excited to see him continue to develop his talent working with Steven and all of our staff.
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