She added: "But I can confirm today that we intent to return to the meaningful vote debate in the week commencing 7 January, and hold the vote the following week".
The Labour Party, which is under pressure from smaller opposition parties to propose a motion of no confidence against the government this week, said on Sunday it would seek to force May to bring the deal back to Parliament for a vote before Christmas.
"The sensible thing is now to allow parliament to vote on each of the forms of Brexit canvassed, including the prime minister's deal", he said in a statement.
Theresa May is to appear in front of MPs at 3.30pm this afternoon and Labour leader Jeremy Corbyn has said the motion will be tabled if the prime minister fails to set a date for vote on her Brexit deal.
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The Prime Minister will rule out a re-run of 2016's vote on Monday, warning MPs that it would "break faith" with the public and do "irreparable damage" to their trust in politics.
The leader of the Commons, Andrea Leadsom, would announce the timetable for the weeks after the Christmas recess, which begins on Thursday "in the usual way", May said. "Officials know the prospect of a People's Vote is being discussed not just in Westminster but in the corridors of Whitehall too".
Chuka Umunna, a prominent "people's vote" campaigner, admitted that not enough MPs back a fresh referendum, but said they would change their positions in due course.
Mr Clark suggested that Parliament should be "invited to say what it would agree with" if MPs vote down the Prime Minister's Brexit deal.
"It is now only just over 14 weeks until the United Kingdom leaves the European Union, and I know many members of this house are concerned that we need to take a decision soon", May said, prompting jeers from many MPs.
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She said: "The EU27 made clear it is their firm determination to work speedily on a subsequent agreement that established by December 31, 2020 alternative arrangement so the backstop will not need to be triggered". She said the vote would be held the following week.
Meanwhile, the BBC reported that Mrs May had turned to former prime minister David Cameron for advice on how to give MPs a "greater role" if her Brexit deal is rejected.
The Sunda Rimes reports come after May said Friday that she would continue negotiations with Brussels on the future Brexit agreement in order to obtain additional guarantees for the deal, which are necessary for approval in the UK Parliament.
The Panelbase survey for The Sunday Times found that 52% back holding another vote on whether to leave the European Union, with 37% against holding a second vote while 11% don't know.
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