Mrs May told the Labour leader: "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".
If, as expected, the prime minister doesn't secure any concessions from the European Union by Wednesday, parliament will vote on alternative options on Thursday.
Despite admitting in December she would have lost the meaningful vote if it had gone ahead, it was reported at the time of the January Brexit ballot that May hoped assurances from European Union leaders over the controversial Irish backstop might be enough to help garner more support.
Parliament is to hold a debate on Brexit on February 14, but with just 45 days until Britain leaves the bloc it is not expected to change the course of the exit process, and no date has been set for another vote to approve or reject May's deal.
As the Prime Minister prepares to update MPs on the latest developments in the Brexit negotiations on Tuesday afternoon - a day earlier than expected - Andrea Leadsom dismissed the prospect of Mrs May adopting Jeremy Corbyn's "world view".
May said that talks are at a "crucial stage" and we need to "hold our nerve to get the changes this House requires and deliver Brexit on time".
The opposition was having none of this.
"It's not me who's trying to run down the clock", May said, drawing hoots and jeers from opposing lawmakers.
Meanwhile in London, taking a cordial tone, Mrs May suggested further talks with the Labour Party leadership even as she said she did not see the advantage of permanent membership in the EU's customs union, a key demand Mr Corbyn is seeking in exchange for backing her troubled Brexit bill in Parliament.
2 singers wear their pro-Trump fashions on Grammy carpet
When the singer first arrived on the red carpet, she wore a silver overlay covering her dress, but eventually removed the layer. As well as wearing white pants and a high-neck shirt, the American singer-songwriter and dancer donned a pro-Trump jacket.
The backstop is a commitment to prevent checks on goods and people returning to the Northern Ireland border in the event of no deal.
The EU's chief Brexit negotiator, Michel Barnier, did not mince his words following a visit to Brussels by the UK's Brexit Secretary Stephen Barclay, and made it clear that the European Union would not budge on its assertion that the Withdrawal Agreement that was drawn up by the two sides late past year will not be renegotiated.
The political impasse leaves Britain lurching toward a chaotic no-deal departure that could be costly for businesses and ordinary people in both the United Kingdom and the EU.
They will again try to force through legislation that would delay Brexit if the government can't get a deal done in time, removing the possibility of that last-minute kamikaze choice.
He said that Westminster will "be forced" to step in to prevent Theresa May from "running down the clock" before March 29.
She said May would promise MPs they could hold a series of votes on February 27 in an attempt to influence her Brexit strategy if she has not agreed a new deal by then.
"It is a negotiation". Another study had shown that 5 lakh jobs within Britain would be at risk in case of a no-deal Brexit.
"The economy is clearly struggling in the first quarter of 2019 amid serious business and consumer caution resulting from heightened Brexit uncertainties while weaker global growth is also impacting" the figures, noted Howard Archer, chief economic advisor at the EY ITEM Club. She also ruled out requesting the European Union to extend the March 29 deadline, although she acknowledged there was little time left to ratify an agreement.
Carolyn Fairbairn, director-general of the Confederation of British Industry, told Sky News "we really are in the emergency zone of Brexit now", with some businesses already leaving the country.