Liverpool deny the club has been put up for sale by American owners, Fenway Sports Group (FSG).
FSG, headed by Liverpool's principal owner John W Henry, are reportedly ready to consider offers for the Premier League club, according to The Sun newspaper.
The group completed its purchase of Liverpool in October 2010, after a turbulent period under previous owners George Gillett and Tom Hicks, and were said to be "unofficially" in the market for £350 million sale.
A club spokesperson denied the reports in a statement released to Press Association Sport: "Fenway Sports Group has made its position clear, Liverpool Football Club is not for sale. There is no truth in this story.
"Like so many rumours in the past about a sale of Liverpool Football Club, there is absolutely no truth in this. We have had no meetings with anyone about a sale, we don't know who the source of the rumour is."
Information from the Press Association was used in this report.