A bill implementing the Brexit deal will be introduced in the first week of June, the government has confirmed.
Downing Street said this was “imperative” if the UK was to leave the EU before MPs’ summer recess.
The government also said talks with Labour would continue on Wednesday in an attempt to agree a way through the Brexit impasse.
Attempts to find a cross-party compromise began after the PM’s Brexit deal was rejected three times by MPs.
A Labour spokesman said Jeremy Corbyn had raised concerns “about the prime minister’s ability to deliver on any compromise agreement”.
BBC political correspondent Iain Watson said bringing the legislation forward would allow the prime minister to push ahead with her ambition of delivering Brexit before the summer, despite the lack of agreement so far in the cross-party talks.
He said the vote on the law was separate to a so-called meaningful vote on the prime minister’s Brexit deal – which has been defeated by MPs three times.
He added that the proposed timetable nevertheless would allow “more space and more time” for the talks to continue.
The prime minister and Labour leader Jeremy Corbyn met on Tuesday evening to discuss the ongoing talks.
Number 10 described the discussions as “both useful and constructive”.
A spokesman said Theresa May had made clear the government’s “determination to bring the talks to a conclusion and deliver on the referendum result to leave the EU”.
Brexit Secretary Steve Barclay said: “It is now time for Parliament to make a decision, reflecting the manifestos of both the Conservative and Labour parties at the last general election and to deliver Brexit in the way that the public were promised.”
In the 2017 general election, the two main parties promised in their manifestos to respect the result of the Brexit referendum.
A Labour party spokesman said Mr Corbyn had “raised doubts over the credibility of government commitments, following statements by Conservative MPs and Cabinet ministers seeking to replace the prime minister”.
He also said the Labour leader had called for “further movement” from the government and that the prime minister’s team had agreed to bring back “further proposals tomorrow”.
What is the Withdrawal Agreement Bill?
The UK needs to pass a law to implement the withdrawal agreement – the part of the PM’s Brexit deal which will take the country out of the EU – in UK law.
This is a requirement under the terms of previous Brexit legislation passed last year.
The legislation would make the citizens’ rights part of the agreement directly enforceable in UK courts, and set their relationship with the EU’s Court of Justice.
It will also allow ministers to make “divorce payments” to the EU foreseen under the current deal, and give effect to the so-called backstop plan for the Irish border.
MPs will be able to vote on amendments to the bill, and this could allow ministers to make good on any compromise they reach with Labour in the cross-party talks.
The cross-party meetings have been going on for weeks with little sign of progress, and last week Mr Corbyn said talks were “difficult” because the government was “disintegrating”.
Foreign Secretary Jeremy Hunt said a compromise was not impossible. but talks could not continue “indefinitely”.
This latest announcement came as Conservative MPs wrote to Mrs May urging her not to agree a deal with Labour that included a customs union.
The letter has been signed by 13 former Tory cabinet ministers and Sir Graham Brady, chairman of the backbench 1922 Committee.
Labour have called for a permanent and comprehensive customs union with the EU after Brexit, meaning there would be no internal tariffs (taxes) on goods sold between the UK and the rest of the bloc.
But it would mean the UK cannot negotiate its own trade deals on goods with other countries around the world, something many Brexit-supporting Tory MPs support.