UK lawmakers will hold votes later Tuesday, some of which are designed to tie the government's hands in terms of its Brexit policy.
It could see the government forced to delay Brexit if no deal is reached.
Meanwhile, Prime Minister Theresa May's urging her Conservative MPs to support an amendment which calls for changes to the controversial Irish border backstop.
She believes that would allow her to show the European Union there is parliamentary support for a deal on that basis.
But Conservative MP Bernard Jenkin is among those Brexiteers who say they won't back it.