"This last 12 months has not been easy. It's been unbearable. I haven't slept and my family - it's difficult for them," Moores told the English premier league club's annual general meeting on Thursday.
"I have to consider my options. I love the club, but clearly that's not enough. I can't compete with Mr Morgan's millions," he added.
Moores, who owns a 51 percent stake in Liverpool, was referring to businessman Steve Morgan, who told the meeting that he had made a fourth bid to invest £70 million in the club, reports Reuters.
"There is an offer on the table," said Morgan. "And the money can be in the bank by Christmas."
A consortium, led by US-based film producer Mike Jefferies and lawyer Stuart Ford, said on Thursday that they may make a takeover bid and had approached the club's financial advisers.
That was later denied by Liverpool chief executive Rick Parry who said no talks had taken place.
Another controversial bid from the Thai government, later taken on by Thai media tycoon Paiboon Damrongchaitham, stalled earlier in the year.
Morgan, who is Liverpool's third largest shareholder, has been attempting to plough money into the club for several years and made an official offer last May.
He revealed he was close to succeeding a few months ago until he investigated Liverpool's finances.
It is believed the cost for Liverpool's proposed new stadium at Stanley Park has now risen from £80million to £115million.
