In previous votes on January 29, lawmakers voted to rule out a "no-deal" exit - without signalling how that should happen - and also told May to seek changes to her Brexit agreement from the EU.
An ITV News correspondent says he overheard negotiator Olly Robbins in a Brussels bar saying the government would ask Parliament in late March to back her agreement, rejected by lawmakers last month, or seek an extension to the Brexit deadline.
He seems to think no deal will be removed as an option and MPs will face a choice between deal and delay.
Robbins made clear he felt the fear of a long extension to Article 50 - the process of leaving the European Union - might focus lawmakers' minds, ITV said.
"The Scottish Government over the next few weeks will run public information campaigns, we'll look to give not just advice to households but we will give advice, we already give advice to businesses and to all sectors of the economy".
"Got to make them believe that the week beginning end of March".
The delayed vote means that May's government will have very little time to pass the legislation required to ratify the deal, meaning that a short extension of the Article 50 process is now likely.
The comments, overheard in a bar in Brussels, effectively rule out a no-deal Brexit. The debate on the amendable motion will be held on 27 February.
"Of course we always want to work with the opposition but the opposition has put forward some ideas that are not workable", he told reporters.
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"Well I've spent most of my day engaged in no deal planning, I chaired a meeting of the Scottish Government's resilience committee, which is more used to dealing with bad weather or the impact of terrorist attacks".
She added: "The prime minister can only get away with that if the House of Commons allows her to get away with that, and the longer it does the more complicit it will become in the disaster that eventually unfolds".
Veteran Tory Europhile Kenneth Clarke has tabled a further amendment, backed by senior figures from across the House including Harriet Harman, which would allow MPs to vote for their preferred Brexit outcome.
Britain is due to leave the European Union on March 29 but has yet to find a deal which is acceptable to both Brussels and lawmakers at home, raising the prospect of a disorderly exit that could damage the world's fifth largest economy.
But Labour pledged to oppose the move, accusing the Government of showing "contempt for our democracy".
Thursday's vote is not binding on the government, but defeat would be a blow to her efforts to convince Brussels that she could secure a Commons majority for a revised agreement over the terms of Britain's departure.
European Commission President Jean-Claude Juncker and the EU's negotiating team continue to insist that the EU will not reopen the Withdrawal Agreement agreed with May last November.
In stormy exchanges in the Commons, the SNP's Westminster leader Ian Blackford risked being thrown out of the chamber after shouting "liar" at the PM.
"She's determined to try and avoid a no-deal Brexit if she can, because she recognizes in talking to business that this could be very damaging for the United Kingdom economy and ergo jobs", Tony Smurfit, chief executive of Irish packaging group Smurfit Kappa, told Reuters.
"She is playing for time and playing with people's jobs, our economic security and the future of our industry".