The report claims that the Reds are the bookmakers favourites to sign Mor citing StarSports odds as their source.
ESPN meanwhile reported that Liverpool boss Jurgen Klopp is considering making a move for the 18-year-old.
Mor was born in Denmark and represented the Danish national team at youth level before recently switching to play for Turkey.
The youngster was given his first cap in the 1-0 victory over Montenegro last week which was followed by Turkish national team coach Fatih Terim calling him up for the Euro 2016 squad.
The move came as a surprise but Terim has been impressed with Mor who called the young midfielder an ‘exceptional talent’ in his post-match press conference.
The 18-year-old scored twice and setup two goals in 13 appearances for Nordsjaelland last season.