Theresa May looks set to suffer a massive and humiliating defeat if she pushes ahead with a Commons vote on her deal on Tuesday night.
Will Quince, a ministerial aide to Defence Secretary Gavin Williamson, hit out at the backstop plan to avoid a hard border with Ireland, saying it could result in the United Kingdom being "tied to the negotiating table for years, until we agree to anything in desperation" to get out of the situation.
Speaking to the Mail, May said a rejection of her proposals would mean "grave uncertainty" for the UK.
For different reasons, over 100 ruling Conservative MPs have declared their intention to vote against the agreement, besides the opposition Labour, Liberal Democrats, Scottish National Party and the Northern Ireland-based Democratic Unionist Party, which is propping up the minority May government.
Mr Raab said Michel Barnier, the European Union's chief negotiator, told him he understood the backstop "needs to be short" after being challenged over making it finite.
He said her Brexit deal could get through the Commons if it was stripped of the backstop measure - an insurance policy to prevent a hard border with Ireland - insisting that would be "relatively simple" to achieve.
She told her MPs: "'If you want Brexit, make sure you get it, and that's about this deal".
May is facing likely defeat in the Commons on Tuesday as MPs from all parties threaten to vote it down.
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Former work and pensions secretary Esther McVey said she would give the prospect of standing as leader "serious concern" and suggested that Brexiteers should unite around a single candidate.
Ms Rudd admitted, however, that she was not certain it could "be done".
Boris Johnson refused to rule out challenging Theresa May for the Tory leadership as he warned her Brexit deal left the United Kingdom open to "blackmail" by Brussels.
But Johnson used a column in the Sun on Sunday to argue that "the best way to get a great deal is to prepare for no deal" by rejecting May's draft.
The Prime Minister is under pressure from Tory Brexiteers and the DUP to push the Irish government and European Union to drop their backstop proposal which is created to avoid a hard border post-Brexit.
When May first brought this deal home from Brussels, I reasoned that she did have at least one reasonable chance to come away with a win.
Downing Street insisted that the vote would still go ahead on Tuesday amid speculation she might be forced to delay the showdown.
Eurosceptic former party leader Iain Duncan Smith cautioned against the PM and her cabinet deciding to "brazen it out", saying such an approach would be a "disaster".
While EU diplomats have said they could consider helping May with "cosmetic" changes to the non-binding political agreement that accompanies the deal, the legally binding text of the exit deal itself would be off limits to renegotiation.