The House of Commons could back British Prime Minister Theresa May's deal if politicians received assurances from the European Union, according to Foreign Secretary Jeremy Hunt.
However, he also warned that the prospect of a no-deal Brexit remains on the table.
"When the dust has settled, the only way we're going to get this through the House of Commons ... is to have a version of the deal that the government has negotiated," Mr Hunt told BBC radio.
"The EU cannot be sure that if they choose not to be helpful and flexible ... that we would not end up with no deal."
Mrs May yesterday said it was still possible to get further clarification from the European Union on the Brexit deal.
She was speaking in Brussels following a meeting with leaders of the EU27 nations seeking assistance to get her Withdrawal Agreement through Westminster.
Read more: Dramatic Brexit week leaves us none the wiser
EU leaders rejected Mrs May's call for legally binding assurances on the Irish backstop and ruled out any changes to the Withdrawal Agreement.
A vote on the deal was scheduled to take place on Tuesday, but was pulled the day before amid fears it would not be passed. That vote is now expected to take place in the new year.
Taoiseach Leo Varadkar said he was always willing to offer clarifications and explanations to British politicians in an effort to get the Withdrawal Agreement passed, but said the deal is not up for renegotiation.
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Meanwhile, Mrs May has been told by a former minister not to "run down the clock" on giving MPs a proper say on Brexit.
Jo Johnson urged the Prime Minister to let the House of Commons vote on her Brexit deal next week, expressing concern at the way Downing Street is treating Parliament.