But according to the New York Post, Henry has "quietly signalled he's willing to sell", with his valuation being "well north of $2 billion".
The Reds are not openly for sale, but the Post claims that Henry has been privately entertaining offers, and if the price were right, a deal could be struck.
The report claims Henry is running a "passive sales process" for the club, valuing the Reds in the region of £1.54 billion ($2bn).
The report claims that Henry, who also owns Major League Baseball outfit Boston Red Sox, wants around $2bn (£1.54bn) to sell the Reds, with the Merseyside giants "quietly on the market".
It was recently reported that Abu Dhabi tycoon Sheik Khaled Bin Zayed Al Nahayan made an unsuccessful bid for the club in 2017, with a possible Chinese takeover also mooted.
Liverpool's owners, the Fenway Sports Group (FSG), have denied the club has been put up for sale, dismissing a report in a United States newspaper as "unfounded speculation".
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Meanwhile, football finance expert Kieran Maguire is of the view that it would be most beneficial for FSG to hold onto Liverpool for a little while longer.
"FSG see a lot more growth in the club", says Maguire to the Liverpool Echo. "In their masterplan, they'll believe in four to five years Liverpool will be worth closer to £3bn". And if they continue to succeed on the field then they could easily add another £500m in the next few years.
But they claim that despite FSG issuing a strong statement at the time denying they were looking to sell, "that's clearly not the case now".