The 25-year-old, who was the leading goalscorer in Ligue 1 last season, is a reported transfer target for the Reds and Tottenham Hotspur.
"I am at Lille now but as we all know I want to play in England one day," he told Sky Sports News.
"Liverpool, well, that is a dream club. Anyone would be happy, scoring goals in front of the Kop can be the highlight of a career."
Reports this morning have claimed that Sow could join Liverpool as part of a deal that would see Joe Cole join the French champions on a permanent basis.