A spokesman said: "This evening the Prime Minister met the Leader of the Opposition in the House of Commons to make clear our determination to bring the talks to a conclusion and deliver on the referendum result to leave the EU".
May, who secured the Conservative Party leadership and the premiership in the chaos that followed Britain's 2016 vote to leave the European Union, is under pressure from some of her own lawmakers to set a date for her departure.
A Labour party spokesperson said Corbyn had raised "concerns about the prime minister's ability to deliver on any compromise agreement".
Also the PM could well take the bold step of running a "definitive votes" process as soon as next week to find a cross-party consensus on the UK's future relationship with the EU.
British Prime Minister Theresa May will try again next month to secure Parliament's backing for a Brexit deal so that the United Kingdom can leave the European Union this summer, May's office said Tuesday.
"However, it was agreed that it is imperative to bring forward the Withdrawal Agreement Bill in time for it to receive royal assent by the summer parliamentary recess".
"We are approaching the moment of truth", a cabinet minister said of the prime minister's decision, which effectively puts her premiership on the line.
Parliament usually breaks for the summer in the second half of July, although the exact date has not been set.
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Thirteen of May's former cabinet colleagues as well as Graham Brady, chairman of the 1922 Committee of Conservative lawmakers, wrote to May on Tuesday to ask her not to agree to Labour's demand for a post-Brexit customs union with the EU.
"More fundamentally, you would have lost the loyal middle of the Conservative Party, split our party and with likely nothing positive to show for it".
The signatories include Gavin Williamson, who she sacked as defence secretary, as well as potential leadership contenders Boris Johnson and Dominic Raab. "Not unless she comes to a deal with us and frankly, the signs are not good".
Referring to the prospect of a new Tory leader tearing up any agreement, he added: "Our big problem now is, if we are going to march our troops in Parliament to the top of the hill to vote for a deal and then that's overturned within weeks, I think that would be a cataclysmic act of bad faith".
In a discussion that lasted more than two hours, cabinet ministers debated the UK's post-Brexit customs relationship with the European Union, as well the possibility of asking MPs to vote on a range of negotiating goals.
British PM Theresa May will have to get a Brexit deal through parliament before the summer break.