She did not say whether she would try a second time to get the deal passed by parliament if defeated, and refused to hold a second referendum, which she said would be "divisive and disrespectful" to the voters of the 2016 vote.
Labour's Yvette Cooper MP, who leads the group that includes former Tory ministers Nicky Morgan, Oliver Letwin, and Nick Boles, said, "Our amendment would block some of the Treasury's no-deal powers unless parliament has explicitly voted for no deal or unless the government has requested an extension of article 50".
Last month, May pulled a vote on the brokered withdrawal agreement, settled on in November after more than a year of back-and-forth negotiations between London and Brussels, acknowledging it would have been roundly rejected by the UK's lower chamber House of Commons.
With the parliamentary debate on her deal due to begin on 9 January, May said there was still work to do to get reassurances over the backstop from the EU.
"The EU has shown in the past that it will move but only if faced with a resolute red line on the part of the United Kingdom government", deputy DUP leader Nigel Dodds said in a statement.
The British leader said that since the vote was pulled at the last minute in December, she's been consulting with European Union leaders and British colleagues to get new assurances in three key areas, the details of which will be laid out in the coming days.
"Most people seem to say that's not what they want to see, well they better make up their minds before we get to a week on Tuesday because that's going to be a very key decision-making point".
"The fundamental problems which make this a bad deal appear not to have changed", he said.
"The only way you're going to get on and deliver Brexit is what's called a "no deal" Brexit".
The Conservative MP also drew example from his constituency, where he says a business owner told him that in the event of a no deal Brexit, about a third of his 60 staff "would have to go". "It was leave or remain, and the way you leave is to come out on March 29".
Amid the uncertainty over Britain's next steps - which range from leaving without a deal to not leaving at all - a poll showed more Britons want to remain a member of the European Union than leave, and voters want to make the final decision themselves.
Menon, however, argued the prospect of a second referendum being held remained slim.
The survey of more than 25,000 voters also showed that 41 percent of Britons thought the final decision about Brexit should be made by a new public vote versus 36 percent who believe it should be up to parliament.
May tried to sell her deal in a TV interview on the BBC on Sunday, roughly one week ahead of a crucial parliamentary vote on the agreement.
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