Defender Danny Wilson is expected to agree a move from Rangers to Liverpool in the next seven days.
The 18-year-old has just over a year left on his contract and had turned down the new deal on offer to him.
Liverpool had a previous bid turned down but have returned with an improved offer in the region of £2m plus add-ons that Rangers have deemed acceptable.
The Ibrox club stood to lose the player for around £500,000 in compensation had he not been sold this summer.
Wilson, who made his debut in October, was recently voted PFA Scotland young player of the year, having made over 20 appearances - two in the Champions League - and scored once this season.
Injury ended his campaign prematurely, but he will leave Ibrox with winners' medals from Rangers' Scottish Premier League and Co-operative Insurance Cup triumphs.
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I've only read positive things about him but anyone watched him play for Rangers?
Nothing is done yet though...