The Turkish newspaper claims that the Red’s have to sound out whether the full-back would want to move to Anfield.
Fotomac go onto state that Liverpool are preparing an offer for the 26-year-old.
Erkin has under six months remaining on his current deal with Fenerbahce meaning Liverpool can hold direct talks with the player to sign him on a free.
The Reds scouts were present at the Istanbul derby that saw Fenerbahce beat rivals Besiktas 2-0 at the Sukru Saracoglu to maintain their unbeaten home record this season.
Erkin meanwhile has four assists this season and a wealth of experience playing for both Fenerbahce and their arch rivals Galatasaray as well as European experience at CSKA Moscow.
The Turkish international has made 24 appearances for Fenerbahce this season, providing eight assist and has scored one goal.