There were unusual scenes as the speaker, John Bercow, accepted an amendment that forces the May government to come up with a Plan B within three days of the withdrawal agreement being voted down on January 15.
"I also want to reassure colleagues that whatever the outcome of this debate, we will respond rapidly, recognising that we must provide parliament with as much security as possible", Barclay said.
Today in a keynote speech to Labour members in Yorkshire, Jeremy Corbyn will say the most practical and democratic way to "break the deadlock" at Westminster over Brexit is to hold another general election.
Mr Grieve had tabled the amendment Tuesday night after pro-EU MPs had passed an amendment to the Finance Bill created to prohibit spending on No Deal preparations without authorisation from Parliament - which is dominated by Remainers and largely opposed to No Deal.
It could happen only if May asked for it and if the 27 remaining European Union member states accepted it. European Union diplomats say the bloc is likely to accept a short postponement of a few months but won't approve a longer delay unless there was a concrete reason, such as an election or new referendum.More news: Padraig Harrington to lead Europe at 2020 Ryder Cup at Whistling Straits
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May is also still seeking assurances on the operation of the backstop from European leaders, which she hopes to deliver before the vote next week.
And he said that "time" would be needed to complete these talks.
While a majority of MPs may vote to take a "no deal" Brexit off the table, that would not legally oblige Mrs May's government to do so.
Many British lawmakers detest the deal agreed between Brussels and Prime Minister Theresa May. In the month since, little seems to have changed to suggest that she'll win. Sammy Wilson, the party's Brexit spokesman, said: "The only thing which could swing the DUP round is if the backstop as it applies to the United Kingdom as a whole or to Northern Ireland specifically were removed from this agreement". Mrs May then successfully fended off a leadership challenge from her own party, but appears to have swayed few minds on her Brexit deal which is still widely expected to be rejected.
"The only way to avoid no deal is to vote for the deal", Mrs May told lawmakers in the House of Commons.
The prospect of the United Kingdom leaving the bloc with no agreement on the terms of its withdrawal or future trading relations has raised fears over possible supply chain disruptions and blocked ports, prompting companies and the government to ramp up their contingency planning in recent weeks.
Mr Lidington told the BBC that no alternative deal would be negotiated.
Its goal was to prove there was a parliamentary majority to oppose no deal, and the cross-party group of rebels who organised Tuesday's defeat said they could seek to amend any and every piece of legislation the government brings to parliament between now and March. Some investors and major banks believe May's deal will be defeated on Tuesday but that eventually it will be approved.