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.
bbc
Benitez's buying? How good can he be?
huh, from Scotland ah ?
how good can he be ?
the Scottish League is like only slightly better and a lot quicker than our own ASS-League..........
I got a feeling its not Benitez' buy. I think they just try to buy these cheap youngsters and attempt to sell them for profit.
Sounds like just another cash converter buy. Let's hope this one turns out good.
Anyway, why is it that Wenger finds some gems each season, but the best that Liverpool can find are players like Ngog?