With the House of Lords set to vote on the government's Brexit bill today, many reports suggest that Theresa May's plans could face rejection.
Sometime after 1400 GMT, the House of Lords will debate different proposals for a "meaningful" vote - the role parliament will play if lawmakers reject a deal that May negotiates with the European Union, or if she fails to agree any exit deal.
They backed an amendment to the EU (Withdrawal) Bill, tabled by Viscount Hailsham, which would require the Government to allow MPs to vote on how it would proceed in the absence of a Brexit deal by January 21 next year.
Under the new amendment tabled by Greive, ministers must update parliament by 21 January if no deal is reached with Brussels.
"But we need to make sure that parliament can't tie the government's hands in negotiation and can't overturn the will of the British people".
Of the 354 MPs who voted in favor of the amendment in the House of Lords, parliament's upper chamber, 22 were from the Conservative party and 147 from the Labour party.
Last week, the prime minister avoided defeat on the issue - but the would-be rebels said they were not happy with the concessions they were subsequently offered in return for not voting against the government.
"We want what they have got - a meaningful vote", she said.
Britain's house of lords has voted to allow lawmakers to decide on the fate of a final brexit deal.
Lord Hailsham said the Government had failed to deliver its promise to provide a "meaningful vote" on the Brexit deal and it was up to peers to insist on it to give MPs another chance to debate the issue.
A DExEU spokesman said: "Agreeing to amendable motions would allow Parliament to direct Government on its approach to exiting the European Union and so does not meet the reasonable tests set out by the Prime Minister and Brexit Secretary last week".
He told BBC Radio 4's The Westminster Hour: "I don't want to fetter my Prime Minister while she's negotiating the best deal for Britain".
"The meaningful vote is nothing to do with holding the government to account", Jacob Rees-Mogg, who leads a grouping of Anti-EU Conservative lawmakers, said after a speech in central London.
Last week, the prime minister defused a rebellion in the house of commons over her Brexit strategy by pushing a compromise plan on the withdrawal bill.
He told MPs the timing of the debate was apt because at the other end of Parliament, the Lords were now exercising "an incredible amount of influence and power over the European Union (Withdrawal) Bill", as they debated amendments rejected by the House of Lords.
MPs would then be given a vote on whether to approve the action in statement.