Hunt acknowledged that May's deal was "not perfect" but insisted it "broadly delivers Brexit".
To help her get the deal through, "We are checking with Downing Street what the clarifications could amount to", he said, adding: "They should not be confused with a renegotiation". "They should not be confused with a renegotiation", he said during a visit to Romania.
Meanwhile, Work and Pensions Secretary Amber Rudd said she is "committed" to ensuring that the United Kingdom does not leave without a deal.
"I don't think the British public are served by fantasies about magical, alternative deals that are somehow going to spring out of a cupboard in Brussels", Cabinet Office Minister David Lidington told BBC radio.
The deal proposed by Prime Minister Theresa May is due to be put forward in Parliament next week, although it is not expected to receive enough support to pass.
Mr Leonard said: "It's not a matter of campaigning for or against Brexit".
The Foreign Secretary warned that if the Prime Minister's deal is not passed by MPs in next week's "meaningful vote" that it could lead to a "Brexit paralysis" which could mean the United Kingdom doesn't leave the EU.
He said: "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".
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"I disagree with that, and so I think do the vast majority of members of parliament".
British police have advised retailers to consider hiring additional security to cope with fears of food shortages and other goods in the event of a no-deal Brexit.
The minister said Bercow had shown that he was "willing to frustrate the government at every opportunity", and it was not possible for the minority Tory administration to control what happened in parliament. "We have seen from this week that parliament has the ability to assert itself and to shape outcomes".
With less than three months before Britain is due to quit the European Union, parliament began a five-day battle over May's Brexit plan with a show of force - undermining her preferred timetable if lawmakers vote down her blueprint next Tuesday.
Mrs May was boosted yesterday by two Tory backbenchers - her former policy adviser George Freeman, and Trudy Harrison - indicating they will back her deal.
Labour said it would try to trigger an election by calling for a no-confidence vote in the government if May's deal is defeated next week.
"My view is that we had a referendum in 2016, our job has been to try to get the best deal".
Amid the political stalemate, pro-Brexit members of Parliament are urging the government to ramp up preparations for leaving the European Union without a deal.
The Daily Mirror says Mrs May has "caved in" on workers' rights to save her deal.