The Labour Party has tabled a cross-party motion in an effort to block a no-deal Brexit.
If the motion passes, MPs will be able to take control of the Commons timetable on June 25 and introduce legislation that day to stop a no deal from occurring at the end of October.
A vote is expected to take place on the motion today.
A statement on the Labour Whips Twitter page read: "Labour has tabled a cross-party motion for tomorrow that would hand control of the parliamentary agenda on Tues 25 June to prevent a future Prime Minister proroguing Parliament to force through a no-deal Brexit against the will of Parliament."
Supporters of the move include Tory former minister Sir Oliver Letwin, plus the SNP, the Liberal Democrats, Plaid Cymru and the Greens.
And former Tory MP Nick Boles, who is now an independent, said he would be flying back from a trip abroad to back the motion.
"I am abroad so I have not been able to sign the procedural motion tabled for tomorrow. But I will be flying back specially tomorrow morning to vote for it," he wrote on Twitter.
"Only if it passes do we have any chance of stopping a No Deal Brexit on 31 October."
However, it has been criticised by some Conservative leadership contenders.
Commenting on the motion, Rory Stewart said: "For the avoidance of any doubt - I have read the Labour motion proposed for tomorrow and I will NOT be voting for it."
Mark Harper told talkRADIO this morning that he would also refuse to support the motion.
And fellow contender Michael Gove has said he refused to rule out the possibility of a no deal.
Esther McVey has also backed a no-deal Brexit, suggesting that she is prepared to suspend Parliament to make it happen.
The looming Commons vote has forced fellow leadership contender Sajid Javid to push back the time of his leadership launch to later today.