Jurgen Klopp has approved the club's pursuit of the 18-year-old, who has made 33 appearances for the Scottish outfit this term.
Aberdeen are only willing to sell up for a fee that exceeds their current record, which stands at £3m. Ramsay has only been part of the first team for a little over a year but has continued to grow in stature.
Last month he was named Scottish Football Writers' young player of the year, an award previously won for three successive years by Kieran Tierney, such have been his performances north of the border. He cited Liverpool full-backs Trent Alexander-Arnold and fellow Scot Andy Robertson as major influences.
Ramsay said: "There are some great players who have won the award and it's a massive achievement for me. As a full-back, watching Trent and his crosses and his technical ability - if I can get to that level then it would be a bonus."
At Leeds, first choice right-back Luke Ayling is into his 30s and may soon need replacing at Elland Road. That would offer Ramsay an accelerated route into the starting XI in Yorkshire. Norwich City, who are set for a Championship return, and Italian side Sassuolo are also keen on the young Scot.
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