While Robertson isn't seen as an immediate first-choice, he is Klopp's priority fullback target and is expected to rival Englishman James Milner for the left back starting berth.
Nonetheless, Robertson's exploits at full-back earned him many rave reviews last term, and they look set to secure him a move to Jurgen Klopp's Liverpool as recent reports suggest that the 23-year-old has left Hull's Portugal training camp ahead of a potential move to Anfield.
The Scotland global, capped 15 times by his country, has played 115 games for the Hull in the past few years, and has only missed nine of their last 84 league matches in helping them secure promotion to the Premier League, albeit fail to stay there last term.
Liverpool are set to complete the signing of Andrew Robertson.
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The Daily Mirror suggest Robertson has said his goodbyes to his Hull team-mates, who are now at a warm-weather training camp in Portugal, and a medical is scheduled with the Merseyside outfit.
The move is also likely to signal the end of Alberto Moreno's Liverpool career, who is being watched by a number of European clubs.
While, of course, there's been no word from either side, rumour has it that Robertson will hold talks with the Reds hierarchy after beating a hasty retreat from the Tiger's camp in Portugal.
Robertson made 39 appearances in all competitions last season as Hull were relegated from the Premier League.