However, when the BBC asked what happens if the deal is defeated, Barclay said he suspected the Commons would support something "along the lines of this deal" but did not speculate on whether the government had a Brexit "plan B" lined up.
Prime Minister Theresa May's Brexit deal is expected to be heavily rejected in the House Of Commons in a crunch vote on Tuesday.
Mr Hunt warned that failure to deliver Brexit would be "incredibly damaging" for the United Kingdom and something the country would regret for "many, many generations".
A vote on the agreement takes place in the Commons on Tuesday.
Britain, the world's fifth largest economy, is due to leave the globe's biggest trading bloc in under 80 days but parliament looks likely to reject May's negotiated agreement next week, increasing the possibility of a disorderly Brexit.
He described the prospect of no deal the same way as Corbyn.
He said there would be a "different tone" in British politics if Britain failed to leave the European Union, and predicted a "less tolerant society" and a "more nationalistic nation".
AMD promises more Radeon products in 2019, Navi coming soon
The Vega VII will have a TDP of 300W, 5W higher than the Vega 64 and almost 100W more than NVIDIA's RTX 2080. At the launch of the Radeon VII , AMD said it was the most high-performance GPU it has launched to date.
Elsewhere, it emerged that Speaker John Bercow met Tory remain rebel Dominic Grieve on Tuesday, the day before his controversial decision to allow MPs a vote on Mr Grieve's amendment to the timetable of the Brexit deal.
Labour peer Lord Andrew Adonis, who is a prominent Remainer, slammed Grayling and in a tweet wrote: "At the end of Brexit there should a one clause bill banning Grayling from holding any further public office ... unless of course it's overturned by a people's vote".
Mr Hunt warned: "If we were, as a political class, not to deliver Brexit, that would be a fundamental breach of trust between the people and the politicians".
The PM has also faced further opposition to her deal from former Brexit secretary Dominic Raab, who used an article in the Sunday Telegraph to urge MPs to vote down Mrs May's "bad" deal and send a message to Brussels that the United Kingdom "will not be bullied".
Corbyn said: "What I'm saying is we're campaigning for a country that is brought together by investment", adding that people were "very, very angry about the way they've been treated in their different communities around the country".
"I think that is something that we would regret for many, many generations".
But she said: "I intend to work with colleagues to make sure we avoid it".