If no deal on the changes to the Brexit Withdrawal Agreement has been reached with Brussels by Wednesday, as seems overwhelmingly likely, Mrs May will address MPs on progress made, say more time is needed for negotiations, and table a "neutral motion" for debate the following day. The new pledge would be for a repeat of this process by February 27.
Embattled Theresa May is facing a Labour ambush that could force a vote to kill off her Brexit deal within weeks.
Britain is due to leave the European Union on March 29, but parliament has rejected May's divorce deal, leaving the prime minister to seek changes from a resistant EU.
With just 47 days until the United Kingdom is due to leave the European Union, Theresa May has yet to get a deal agreed in the Commons, while EU leaders insist they are not prepared to reopen the agreement.
But there is no commitment to hold a binding vote on the deal itself by the end of the month.
Sir Keir earlier said his plan was necessary to put a "hard stop" to Mrs May "running down the clock" before the March 29 deadline.
In an interview with the Sunday Times Mr Starmer described Mrs May's approach as "reckless" and "blinkered" and blamed her "tunnel vision" for the devastating defeat suffered last month when MPs threw out her Brexit deal by a record 230 votes.
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On the other side, Poland, Lithuania, Latvia and Estonia strongly oppose Nord Stream 2, mostly for geopolitical reasons. If the proposed regulation musters enough support, negotiations on final draft rules could begin as early as next week.
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She went onto thank daughter Kulture and touched on her fears surrounding giving birth shortly after dropping the album. She wrote "fuck", "bullshit" and "literal bullshit" one after the other before quickly deleting the posts.
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A representative for the Grammys didn't return an email seeking clarification about the tribute. Yolanda Adams, Fantasia and Andra Day will honor the late Aretha Franklin with a performance.
"We can't allow that to happen", Sir Keir said.
Confederation of British Industry (CBI) director-general Carolyn Fairbairn said firms were now in the "emergency zone" due to the uncertainty surrounding Brexit, ahead of the March 29 European Union departure date.
May wants to win over lawmakers in her Conservative Party with changes relating to the Northern Irish border, but the EU has refused to reopen that part of the deal and instead wants May to pursue a compromise with the main opposition Labour Party by agreeing closer UK-EU ties. "That isn't right in terms of the respect for parliament", said Starmer.
Deputy Labour leader Tom Watson told the Andrew Marr Show that if those conditions were not met then his party could move to supporting a second referendum.
"Or the only way to break the impasse is to have a public vote, and that remains our policy".
"It will be the decisions that businesses take about jobs and investment - and they will reduce them - so you have less potential to trade globally, that will mean less investment in the future and that will mean fewer jobs in the future", she told Sky News.
Asked if she could stay in office if the Government backed a customs union she said: "I absolutely do not think that should be our policy".