If the vote on Tuesday fails, May has pledged to give the House of Commons an opportunity to vote on two additional resolutions: One on a no-deal Brexit; the other on delaying Brexit beyond the March 29 date enshrined in law.
The spokesman said the government's motion that will be debated and voted on would be published later on Monday.
The Telegraph said there was "a backdrop of exasperation" to the Prime Minister's trip to Brussels and that a deal will only succeed if there is "no doubt" that the backstop is temporary.
Mr Walker confirmed the meaningful vote will take place on Tuesday and said it was "incumbent" on MPs to take the opportunity to "deliver on the will of the British people and to provide certainty" by backing Mrs May's deal.
If she loses that vote, she has said lawmakers will get a vote on Wednesday on whether to leave without a deal and, if they reject that, then a vote on whether to ask for a limited delay to Brexit.
With EU leaders warning there would be no more changes or negotiations, and less than three weeks to go until the U.K.is due to leave, British lawmakers were facing a stark choice in a vote later: support a deal many consider inadequate or run the risk that Brexit might happen chaotically, or not at all.
May hoped the changes would be enough to overturn the 230-vote margin of defeat for the deal in January.
Gambino 'mob boss' shot dead outside NY home
At a 2008 bail, a prosecutor said Cali was seen "as a man of influence and power by organised crime members in Italy". More recently, Cali was reputed to be the leader of the Gambino crime family, having assumed the top role in 2015.
"May has boxed herself even deeper into a corner, it seems the second meaningful vote will go ahead on Tuesday but it also seems like it won't be the last meaningful vote on this", one European Union official said.
The Times urged MPs to consider the deal against a wider backdrop of "global instability" - and said it is "farcical" that they will vote on a package "they will have had just hours to assess".
Meanwhile, EU leadership has confirmed it is open to meet with United Kingdom negotiators at any time, while remaining committed to deal ratification before 29 March.
The changes address the most contentious part of the divorce deal she agreed in November - the insurance policy aimed at avoiding controls on the sensitive border between the British province of Northern Ireland and European Union member Ireland.
The Britons drinking beer in Brussels had their eyes fixed intently on the James Joyce pub's TV as lawmakers in London said "yea" or "nay" to Prime Minister Theresa May's Brexit deal.
The U.K.is set to leave the bloc on March 29 as a result of a 2016 referendum where British voters made a decision to leave the union after more than 40 years of membership.
"With only 17 days left to March 29, today's vote has significantly increased the likelihood of a no-deal Brexit".
Minnesota Vikings sign Anthony Barr: Grade, reaction and more
Given that Barr will now be doing his thing as a pure pass rusher in the Jets' 3-4 scheme, we're expecting big things from him. For his career, he has 13.5 sacks while averaging 68 tackles per season over five seasons.
Two Eurosceptic politicians wrote in The Sunday Telegraph that her deal in its current form would be defeated by a "sizeable proportion" of her party and allies from the Democratic Unionist Party on Tuesday.
"But let me be clear", May said after the vote tally was read to Members of Parliament in the Commons Chamber.
A Brexit deal seemed close on Saturday after the European Union indicated legal ways for London to unilaterally leave the contentious Irish border backstop, sources in the bloc said, but the plan was rejected by British Prime Minister Theresa May's cabinet.
Ahead of that vote details of how a no deal will impact trade have been released.
The prime minister has since been trying to negotiate changes to the agreement, in particular regarding the highly unpopular backstop provision, which is created to ensure a frictionless Irish border and would, as many fear, tie the United Kingdom to the EU customs union.
"The EU will want to know what use we mean to make of such an extension", she said.
Trump Budget Sees $1 Trillion Deficits for Next Four Years
Tax cuts have been a priority for the Republican White House and Congress in recent years, rather than deficit reduction. Trump's budget also calls for the extension of the 2017 tax cuts, which are now expected to expire in 2025.