In her response to the Labour leader's letter setting out his conditions to support a Brexit deal, Mrs May said: "It is good to see that we agree that the United Kingdom should leave the European Union with a deal and that the urgent task at hand is to find a deal that honours our commitments to the people of Northern Ireland, can command support in Parliament and can be negotiated with the EU - not to seek an election or second referendum".
The leader of the opposition has suggested the possibility of a follow up European Union vote as he urged Theresa May to accept his amendments to her Brexit deal.
"As the deadline approaches, minds get focused and a deal gets done", she said.
Later on Monday, the Brexit secretary, Stephen Barclay, will go to Brussels to meet the EU's chief negotiator, Michel Barnier, following the PM's meetings in Brussels last week.
In her letter, Mrs May said she wanted discussions between Tory and Labour teams to start considering "alternative arrangements" to the backstop contained within the withdrawal agreement.
In his letter to Mrs May, the Labour leader set out five demands, including a permanent customs union and close alignment with the single market.
But Mrs May rejected some of the conditions outlined by Mr Corbyn, saying she was unclear about why he favoured remaining in an EU customs union.
Mrs May does not agree, and wrote: "I am not clear why you believe it would be preferable to seek a say in future European Union trade deals rather than the ability to strike our own deals?"
Liz Truss, the chief secretary to the Treasury, refused on Sunday to rule out resigning from the Cabinet if May switches position and backs a customs union.
She told Sky News: "I absolutely do not think that should be our policy".
That will then be followed on Thursday by a debate and voting on a number of amendments.
But in an effort to see off attempts to bind the government's hands, Downing Street is promising another opportunity to table amendments, which are likely to include measures aimed at taking a no-deal Brexit off the table, on February 27.
There appears little prospect of an imminent breakthrough with Brussels, and Mrs May might not bring her deal back for a decisive vote this month.
Pro-EU Tories Heidi Allen and Sarah Wollaston both said ministers should "step up" this week to prevent a no-deal Brexit.
Asked if May thus realised she needed more Labour votes, Stewart said: "Certainly, the maths suggest that to get this through we're going to need support from all around the house".
"The Prime Minister is pretending there is progress in the talks".
The move is in response to fears that Mrs May is engaged in a "cynical" attempt to run down the clock and leave politicians with a stark choice between her deal of crashing out on March 29.
"This week Parliament needs to say enough is enough -and take control of what happens next".
In a speech in Coventry, Mr Corbyn said Labour's plan "could win the support of Parliament and bring the country together" but Mrs May has so far "chosen the path of division".