The Moores family's 50-year hold over Liverpool could come to an end if chairman David carries out his threat to give up control of the club.
Moores - who insisted he still backs manager Gerard Houllier - made the amazing revelation with his very final words at a stormy annual general meeting last night.
Moores and Houllier were criticised by a long succession of shareholders frustrated by the club's indifferent form on the field.
Just how close Moores is to letting control of Anfield slip through his fingers will not be known until the end of another roller-coaster season.
But for the first time, Moores has agreed to hold talks with multi-millionaire Steve Morgan, the club's third-largest shareholder, who he has been at loggerheads with for years.
Morgan has always wanted a say in the running of the club and possibly a place on the board, but that is something that has been denied the building magnate.
Moores said to the shareholders: 'I appreciate all you say, I hear all you say, and as chairman the buck stops with me.
'We around this board still have faith in Gerard and his backroom staff, and we are only halfway through the season.
'At the end of the season I will be looking at myself, but at the moment we carry on and try to do the best we can do.
'But I believe we can come through this, because I believe in what the manager has planned for the future, and our success.'
Houllier - who takes his injury-hit side to Chelsea tomorrow - gave a speech strongly backing his policies and plans, but he too must now be concerned about the direction in which Moores will take the club.
Qualification for the Champions League is about the only thing that would maintain the status quo at Anfield now.
Moores' words will ring around Merseyside until the end of the campaign.
He said: 'The buck stops here. If it gets any worse I will have to look at my own position, but I hope it does not come to that.
'This has been a sad night for me personally. People are not happy, I did not expect an easy ride. But what has been happening is not good enough for our club even if I still believe in Gerard Houllier.'
Moores has been majority shareholder and chairman for more than a decade, and holds a 51% controlling interest. If he were to quit or take a step down, Houllier's position could be under threat.
Such was the volume of criticism - led by Morgan, who maintained he had money and was willing to invest in the club - that Moores conceded he was prepared to talk.
Morgan said: 'The chairman has refused to talk to me, money is available from me and others, but the chairman will not dilute his holding.'
Moores responded by saying: 'It is time to bury the hatchet, if you (Morgan) want a meeting, we will sit down and talk it over.
'This is no good for this club, we must bury the hatchet. If it means diluting my shares or even selling to another Roman Abramovich, I will have to do it.'