The 30-year-old midfielder is surplus to requirements at Juventus but is still one of the highest earners at the Turin club following his free transfer move from Arsenal.
The Italian giants are trying to find solutions to get rid of his wages in the winter transfer window and are actively waiting for offers.
Newcastle have been linked with an interest in signing him and it has been claimed Juventus are hopeful that Liverpool will also get involved in the race to push up the price.
Klopp has been an admirer of the Welshman and considered signing him when Ramsey left Arsenal to join Juventus on a free transfer in 2019.
Liverpool are short of numbers in midfield following the departure of Georginio Wijnaldum last summer and the injury to Harvey Elliott.
Midfield is one area the Liverpool manager could look to bring in reinforcements for in the winter transfer window.
And Juventus are hopeful that Klopp’s admiration for Ramsey will lead to a bid from Liverpool in January.
West Ham, Crystal Palace and Leicester have also been linked with a move for the Wales international.
