Cakir's agent Engin Kirkpinar is quoted by Turkish-football.com: "Liverpool are one of four English sides keeping close tabs on Ugurcan.
"Liverpool are among the sides interested in Cakir, and they have been monitoring his progress.
"Trabzonspor value Cakir as being worth a minimum £18m, and will not sell him in January.
"An end-of-season move could however be on the cards."
Adrian ably backed up Alisson for 11 matches earlier in the season but, at 32, may not be considered strong enough to challenge the Brazilian in the long run.