The government has made a fresh plea to MPs to get behind the deal.
Senior shadow cabinet ministers have also said it will come soon, with shadow justice secretary Richard Brugon telling Sky News on Thursday it will be "a matter of days at the most".
"The prime minister herself has said this is not the flawless deal".
He added: "I would like the House of Commons now to take control because the prime minister has failed to give leadership".
"Under any scenario, people are going to be poorer, people are going to lose their jobs".
- Pressure mounted on Jeremy Corbyn to trigger a confidence vote in the Government, but shadow chancellor John McDonnell said his party would make such a move when "the time is right".
If you feel like you ought to know more about Brexit.
Mr Cable said this could be done by revoking Article 50, the mechanism which triggered the exit process, or by holding a second referendum.
'It will open the door to extremist populist political forces in this country of the kind we see in other countries in Europe, ' Mr Grayling told the Daily Mail.
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"I think it's now looking much less likely that parliament would allow a no-deal outcome", he told the BBC.
He said: "I would love a general election because that would allow us to give a very clear statement to the Tory government as to where we're standing".
"It couldn't be simpler and I have to say, I did think on that day, 'That's it".
Part of Mrs May's Brexit deal includes plans for an "ambitious, wide-ranging and balanced" trade agreement, but the text is not legally binding.
He said: "Four decisions need to be made: MPs should vote against no deal; they should vote against the Prime Minister's deal; the European Union should be asked to extend Article 50 deadline to stop the United Kingdom crashing out in March; and MPs should come together to support a new referendum on European Union membership".
But officials said Brussels would be in listening mode, and take guidance from the prime minister as to the next steps should she suffer a heavy defeat as is widely expected.
He warned Eurosceptics that they may not be able to rely on the clock ticking down to the default option of a no-deal Brexit on March 29 if Mrs May's deal is voted down.
Lawmakers in the United Kingdom are set to vote Tuesday on May's Brexit plan after she shelved plans for a December vote when it became clear she would lose that vote.
More than 100 Conservatives and 10 DUP MPs are among those set to oppose the government's deal on Tuesday.
He told Marr: "Clearly if Theresa May's deal is voted down, clearly if a general election takes place and a Labour government comes in - an election would take place February, March time - clearly there's only a few weeks between that and the leave date, there would have to be time for those negotiations".