Second, they will vote on a powerful cross-party bid to seize control of the Brexit process from next week.
Shadow housing minister Yvonne Fovargue, shadow education minister Emma Lewell-Buck, shadow business minister Justin Madders, Ruth Smeeth, a shadow ministerial aide, and Labour whip Stephanie Peacock, all quit their roles to oppose one.
In one unusual episode Thursday, Brexit Secretary Stephen Barclay urged Parliament to support the government's motion to seek a Brexit delay-then voted against it himself.
This week alone, lawmakers voted to defeat May's withdrawal agreement, to rule out leaving the European Union without a deal, and to seek a Brexit delay.
"European Council President Donald Tusk shares the same reluctancy of going head on with the current Brexit deal as "the EU was open to Britain postponing its exit" according to Al Jazeera".
"There seems to be two emerging possibilities, one would be the ratification of the Withdrawal Agreement by Westminster followed by a short extension into the summer which would allow them time to pass the necessary legislation or potentially a much longer extension of up to two years and the objective of that would be to allow other options to be considered, for example participation in Customs Union". Either would require unanimous approval from the other 27 European Union members, whose leaders meet in a summit next Thursday.
Downing Street said this was a "natural consequence" of Mrs May's decision to offer a free vote on an issue where there are "strong views on all sides of the debate".
PA Theresa May faces another difficult night
No 10 believes the delay to Brexit can be limited to under two months if MPs back the deal.
May says she wants to minimize any delay but to achieve that she will need parliament to back her deal at the third time by the middle of next week, possibly on Tuesday. Everything she had done since she entered office was meant to deliver that.
To get her deal passed through parliament, May must win over dozens of Brexit-supporting rebels in her own Conservative Party and the DUP lawmakers.
Last night, MPs voted on a government amended motion ruling out a no deal Brexit.
That could allow groups of MPs to table "indicative votes" on the way forward, seizing the Brexit process from Theresa May's hands.
But at the end of the day, I think we can now be assured that this government, aided and abetted by parliament, will keep grinding democracy down and hollowing out the United Kingdom, until they are told to stop, either by a judge or by the people.
But if the Commons has not passed a resolution approving the negotiated withdrawal agreement by March 20, then the motion said it is "highly likely" the European Council would require a "clear objective for any extension" and to determine its length.
United Kingdom lawmakers vote to delay Brexit past March deadline
MPs also soundly rejected an amendment paving the way for second referendum - for now at least - by 334 votes to 85. Chancellor Philip Hammond said he was "certain" that MPs would vote for a delay to Brexit .