Hull City defender on Wednesday became Liverpool’s third acquisition after the Reds agreed a deal worth an initial £8 million with the Tigers, with add-ons potentially taking the fee to £10 million.
Robertson has one year left on his contract at Hull, but is now set to become Jurgen Klopp’s third signing of the summer, following Dominic Solanke and Mohamed Salah.
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The left-back will not fly to Hong Kong, where the squad are currently on their pre-season tour, but will meet up with his new teammates in Germany next week.
Robertson’s arrival is likely to trigger the departure of Spaniard Alberto Moreno, who Liverpool are hoping to sell for around £15million.
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Liverpool signed Salah from Roma for £39million becoming the Merseyside club’s most expensive signing. Chelsea bought the winger from Basel back in 2014 but he struggled to make an impact under then-manager Jose Mourinho.