The 27-year-old is a long-term target for the Premier League giants, and was heavily linked with a move to Merseyside in the January transfer window.
Reds boss Brendan Rodgers is a confirmed admirer of the Senegalese international who instead moved to Turkey from Lille in an £8.5million deal at the turn of the year.
With 17 goals in all competitions this season, Sow has maintained his impressive form that could prompt a renewed bid from Liverpool at the end of the season, as the Northern Irishman looks to strengthen his forward line ahead of the 2013/14 campaign.
"There is a lot of talk," admitted Sow in an interview with French newspaper Liberation. "Everyone knows I want to play in the Premier League one day.
"If Liverpool made a formal offer and if my club accepted I would be happy to play in England."
Sow represented France at youth international level before making his debut for Senegal in 2009. He's scored eight goals in 19 appearances for his country.
His arrival at Anfield would undoubtedly raise further question marks over the long-term future of star striker Luis Suarez, who has been continually linked with a move away from Liverpool this summer.