The former Parliamentary private secretary in the Department for Education has called Theresa May’s withdrawal bill “unacceptable".
Anne-Marie Trevelyan, the Conservative MP for Berwick upon Tweed, resigned last week alongside Dominic Raab and Esther McVey.
In her letter of resignation she said she could not support the Brexit deal because it was "built on the UK trying to appease the EU".
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Speaking to talkRADIO's Mike Graham live from College Green in Westminster, Ms Trevalyan said she believes the draft deal will not make it through Parliament.
“Well I think at the moment it looks like she couldn't get this withdrawal agreement through which honestly suits me,” she said.
“I don't think it's acceptable in which case we would then kick into action the cleaned labelled global Brexit alternative.”
‘We’ve had two referendums'
The People's Vote campaign is still putting increasing pressure on the government, but Ms Trevelyan said there had already been “two referendums".
“What we've had is the referendum, and then we had a general election which took us all a bit by surprise.
“The reality is that it was effectively a referendum on both the Labour party manifesto and the Tory party. The matter had almost word for word clarity on what it was that delivering on the referendum would mean and those people voted one of the other. Therefore I think the British people were clear that that was what that's something they were supporting indeed."