Niang has been in fine form for Fener this season, scoring nine league goals in 15 matches, and various reports in Africa suggest Kenny Dalglish has made him a transfer target.
The 31-year-old Senegal international, formerly of Troyes, Strasbourg and Marseille, says it would be a privilege to play for Liverpool but claims he is still bound to his current club.
"It is flattering to hear the interest of Liverpool, they are a fantastic club with a rich tradition, one of the most amazing clubs in the world," he said.
"We all know the anthem of the Kop, it would be fantastic, but I have a contract here and it depends a lot on the club here in Turkey.
"But it would be a great opportunity at my age to play for a very very big club."
Niang, who can play as either a striker, support striker or winger, moved to Fenerbahce for eight million euros (£6.9m) in August from Marseille.
Liverpool are trying to strengthen their squad for the second half of the campaign and have rejected a big-money offer from Chelsea for Fernando Torres.
