If the government fails, then parliament would be given a binding vote on Article 50 extension to prevent no-deal.
A "backstop" protocol dealing with the Irish border in the withdrawal agreement negotiated by British Prime Minister Theresa May last month was cited by many British lawmakers as a reason for their rejecting May's deal last week.
Theresa May has repeated her warning that allowing a second European Union referendum would boost the campaign to "break up our United Kingdom" as she set out the government's "plan B" for Brexit. May said that the people already voted for Brexit and that the job of her government and Parliament is to deliver it.
Jeremy Corbyn said the amendment will allow MPs to vote on options to end the Brexit deadlock and "prevent the chaos of a no deal" while "keeping all options on the table". Corbyn's backing for the move is highly significant: As leader of the official opposition, he is nearly certain to get a chance to put his plan to a vote in the House of Commons on January 29.
May's immediate goal is to win over pro-Brexit Conservatives and her party's Northern Irish ally, the Democratic Unionist Party.
Going forward, he said, Parliament will have more of a say over how Brexit unfolds.
One of those legislators, Labour's Yvette Cooper, said May was shirking her responsibility to the country by refusing to take "no deal" off the table.
Hardline supporters of Brexit in May's Conservative party object above all to the fact that Britain can not unilaterally end the backstop, which would keep it in a customs union with the EU until an alternative way of ensuring an open border is found. Brussels says this provision is non-negotiable.
His actions have led to many calls for his deselection from leading councillors and party officials, with the association chairman Philip Sagar saying people are telling him they will no longer vote Conservative should he remain the MP.
The Labour leadership is now walking the tightrope of wanting to offer MPs a vote on a second referendum without actually endorsing the plan itself.
Labour's Hilary Benn has tabled an amendment to the Government motion calling for a range of indicative votes on various Brexit options.
The Prime Minister struck a more inclusive tone, emphasizing the importance of worker's rights and the environment in an attempt to appeal to Labour lawmakers. "I believe this would go against the referendum result and I do not believe that is a course of action that we should take, or which this House should support".
Slack appeared to lay out the next battle with Parliament, saying the government doesn't regard votes on Brexit amendments scheduled for January 29 to be legally binding, but rather "an opportunity for the House to express its will".
Among the options, Labour said, should be a permanent customs union with the EU and "a public vote on a deal" - both proposals that May has ruled out.
Pressed whether there was any scope for a bilateral deal between the United Kingdom and Ireland, he responded: "We are one team".
The border between Northern Ireland and the Republic of Ireland.. "We will not be dragged out of Europe by a Tory government we did not vote for", Mr Blackford said.
The Prime Minister is focused on making changes the the backstop to ensure no hard border emerges on Ireland, according to a Downing Street spokesman.
May said that after hearing concerns of around three million European Union nationals in Britain, she was scrapping the fee.