Jeremy Corbyn has insisted the option of a second poll remains "on the table" if Theresa May fails to secure a deal that will break the stalemate in Parliament.
Leader Jeremy Corbyn told Labour lawmakers the party "will do everything in our power" to prevent Britain leaving the European Union without a deal on the withdrawal terms and future relations with the remaining 27 members.
"That's why, in line with our conference policy, we are committed to also putting forward or supporting an amendment in favour of a public vote to prevent a damaging Tory Brexit being forced on the country".
At a press conference in Egypt on the margins of an EU-Arab summit, Mrs May said she was sticking to her timetable to deliver Brexit on 29 March.
Parliament is due to debate and vote on several proposals and amendments on Brexit on Wednesday.
Labour MP Owen Smith was sacked previous year from the party frontbench after he backed a second referendum.
The amendment, put forward by Labour MP Yvette Cooper and Tory MP Sir Oliver Letwin, aims to delay the UK's exit date from the European Union by extending Article 50 if a deal is not agreed by Parliament by March 13.
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The amended plan would include "close alignment" with the EU's single market, protection for Britain's role in the bloc's various agencies and a wide-reaching "security agreement", the statement added.
That amendment may not come at this week's vote in parliament however.
"There's no turning back for Jeremy now", Kyle said. Corbyn is more anti-EU than his party, the membership of which backs a second referendum.
He said: "We've always said if we can't get a deal that [would] protect jobs and the economy we have to go back to the people and that's what we'll have to do if that's the case this week". Last week, eight referendum-supporting lawmakers quit the Labour Party, in part owing to frustration over his failure to back another vote.
"I still have deep reservations about the idea of having another referendum".
A YouGov poll in January commissioned by the People's Vote campaign but conducted independently suggested 47 percent of the public backed a new vote. In January, he said Brexiteers should be prepared to have to fight the 2016 referendum all over again, remarking: "When I've talked in the past about being anxious that they may force us into a second referendum..."