The African sensation has fueled suggestions that a January move could take place after refusing to commit his long-term future to the Ligue 1 holders
The Senegal international has found himself on the radar of Europe's elite following an impressive 2010-11 season in which he was the top scorer in Ligue 1 with 25 goals.
Sow has continued his form into the current campaign and has so far scored six goals, two of them in the Champions League.
His efforts have seen him linked with a number of clubs, with Arsenal, Sevilla and Inter all believed to be paying close attention to the 25-year-old.
Questioned about the reports, Sow told a press conference: "Only God knows what will happen in the future.
"Right now I represent Lille and I want to remain focused on my club, but anything could happen before the end of the season."
Sow, who has a contract with Lille until the summer of 2013, is reportedly valued at €18 million by the Ligue 1 champions.