Abdennour, 25, is expected to leave the Ligue 1 club this summer, with a host of European clubs trailing the Tunisia international.
Tottenham, Arsenal and Newcastle were all thought to be keen in the player but his agent has suggested it is the Merseyside club who could make a move.
Amid reports Barcelona have also expressed an interest, Abdennour's agent Abdelkader Jilani told AS: "They are one of the interested parties, like Milan, Inter, Juventus and Liverpool."
Abdennour played a key role in hauling Monaco into the Champions League quarter-finals last season after a shock win over Arsenal in the last-16.
Sterling attempts dizzy penalty [AMBIENT]
He is valued at around £21million and recently said of his future: “I have a contract with Monaco and I’m undecided.
"But I can say that I want to get better every day and I want to play for one of the biggest clubs spoken about soon. I’m ready”.
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