Peter Bone has said it is "absurd" for the Prime Minister to bring her Withdrawal Agreement Bill back to the Commons for a fourth time.
The Conservative MP said there was no "logic" in the move, which was announced after last night's Brexit talks between Mrs May and Labour leader Jeremy Corbyn.
"I cannot see how an agreement that has been rejected three times by Parliament would not be rejected a fourth time," Mr Bone told talkRADIO's Julia Hartley-Brewer. "It seems absurd to bring it back, the same thing, again and again."
"I talked to colleagues and some who voted for it last time now think it's dead and will vote against it this time."
The vote is expected to take place in the week beginning June 3, Downing Street has announced.
But Mr Bone said unless there were substantial changes to the Irish backstop within the Withdrawal Agreement, it would not be backed by MPs.
And he added that if there was any deal made with Labour to secure backing for the Bill, it could "destroy" the Conservative Party.
"If it's to do some deal with Labour of course they might get some Labour votes, but I think so many Conservatives would vote against it that it would be lost again," he added.
"And of course it would absolutely split the Conservative Party. It would destroy the Conservative Party."