In the interview, to be fully aired as part of the BBC " s "Panorama' programme on Monday night in the United Kingdom, the premier also issues an ultimatum to critics who have questioned her strategy on Brexit.
"Unless we do that. much of the point of Brexit is nullified".
The IMF said those kind of deals would not offset the drag to the economy from leaving the EU.
"We must not put these achievements - and the prosperity of the British people - at risk", Hammond said, urging his government to "heed the clear warnings of the IMF".
Whitehall sources said the signs from Brussels were "encouraging" but stressed that the European Union must compromise further before any agreement can be reached.More news: PSV's Hirving Lozano: Barcelona a 'dream' to play for in future
Mrs May set out her proposals for the key issue of cross-border trade after a Chequers summit in July, but it has been fiercely criticised by some Brexiteers who say plans for a "common rulebook" on goods would compromise the UK's sovereignty.
May is calculating that, faced with a stark choice between an imperfect agreement and the unknown territory of "no deal", many lawmakers will grudgingly back her proposals.
But the risks are that the PM can not say for certain what the final deal will look like - and some Brexiteers were already determined not to vote for it, she added.
"If the Chequers plan is not acceptable as a basis for that, then the Government will need to find a different approach urgently", committee chairman Hilary Benn said. They don't want a hard border between Northern Ireland and Ireland.
Nick Clegg, the former deputy prime minister, said it was a "con trick" to claim the only options were Chequers or no deal.
May remains confident of striking an acceptable deal with Brussels meanwhile.More news: Patriots Reportedly ‘Close’ On Trade For Josh Gordon
Gove said the responsibility was now with Brussels "because we've shown flexibility".
The deadline for a Brexit deal is set to be pushed back to November under plans to be discussed by European Union leaders this week.
Speaking to Al Jazeera, Thom Brooks, professor and dean at Durham University in the United Kingdom, said he "can't believe" Britain is faced with such alarming International Monetary Fund reports with only six months until Brexit.
When asked about the handling of Brexit negotiations, nearly 79% of people polled thought that the government had handled them badly, and 63% thought the European Union had handled them badly.
Hunt was a passionate Remain support during the 2016 referendum but has since U-turned, saying earlier this month that his "views had changed" since getting his new cabinet post and Brexit was "vital".More news: Amazon could drop 8 new Alexa-powered devices, including a microwave
BBC Panorama, Inside No 10: Deal or No Deal? is on Monday 17 September at 20:30 BST on BBC One as part of a week of in-depth coverage across the BBC to mark Brexit: Six Months to Go.