Green space campaigners wanting to stop the club building on Stanley Park have called for a ballot of the whole city.
They are backed by Melrose Cllr Joe Hanson, who today put a motion to the executive board calling for the vote.
But the scheme was blocked and Liberal Democrat council leader Mike Storey said: "There has been extensive consultation with the people of Anfield.
"Calling for a referendum is expensive nonsense and shows how Labour are willing to play politics with people's lives."
But Cllr Hanson insisted the matter was not over.
"He said: "We are determined to ensure everyone has their say."