Theresa May postponed a House of Commons vote on the deal in December, facing certain defeat, and has since offered MPs clarifications she hopes will convince them. ─ AFP
The withdrawal agreement includes plans for a post-Brexit transition period to provide continuity until a new relationship is drawn up, in return for continued budget contributions from London.
Without it, and if there is no delay, Britain will sever 46 years of ties with its nearest neighbours this spring with no new arrangements to ease the blow.
A German government spokesperson on Tuesday denied a report in The Sun tabloid that German Chancellor Angela Merkel had suggested to May in a phone-call that the EU could grant extra concessions in the event of a defeat.
"The chancellor has given no assurances," he said.
'No Deal? No problem!'
Opposition to the deal forced May to postpone the vote in December in the hope of winning extra concessions from Brussels but EU leaders offered only a series of clarifications and have ruled out re-negotiating the deal.
The vote is the climax of over two years of intense national debate after the shock Brexit referendum of 2016 — a result that mostly pro-Remain MPs have struggled with.
Read: What is Brexit all about?
Hardline Brexiteers and Remainers oppose the agreement for different reasons and many fear it could lock Britain into an unfavourable trading relationship with the EU.
Pro- and anti-Brexit campaigners rallied outside parliament ahead of the vote. One placard read "EU Membership is the Best Deal", another said: "No Deal? No Problem!"
Uncertainty over Brexit has hit the British economy hard. The Society of Motor Manufacturers and Traders (SMMT) lobby group on Tuesday warned MPs that Britain crashing out of the EU would be "catastrophic".
Financial markets will also be watching the result very closely, with several currency traders roping in extra staff around the time of the vote and at least one putting a cap in trades to avoid excessive currency movements.
Frustration
Rather than heal the divisions exposed by the Brexit referendum, the vote has reignited them. Pro-European MPs campaigning to force a second vote say they have faced death threats and harassment outside parliament.
Brexit supporters around the country have also voiced growing frustration with what they see as parliamentary blockage of their democratic vote.
Criticism is focused on an arrangement to keep open the border with Ireland by aligning Britain with some EU trade rules, if and until London and Brussels sign a new economic partnership which could take several years.
May has offered parliament greater oversight of this so-called backstop and EU leaders have also given written assurances that the arrangement would not become permanent.
A handful of Conservative MPs have changed their minds to back the deal but the core of May's critics say she has not done enough.
Sammy Wilson, Brexit spokesman with the Democratic Unionist Party (DUP), the Northern Irish party on whom May relies for her Commons majority, told the BBC his party would not be forced into backing the deal by fears over the border.
"We fought (against) a terrorist campaign (in order) to stay part of the United Kingdom," he said, evoking Northern Ireland's past conflict.
"We are not going to allow bureaucrats in Brussels to separate us from the rest of the United Kingdom."
Opposition Labour leader Jeremy Corbyn said May had "completely and utterly failed" to ease MPs' concerns and said if she loses the vote on Tuesday night, she must call an election.
His party has said it will call a confidence vote in her government "soon" after the virtually certain defeat.