Theresa May could claim her first victory in a long time, as parts of the Brexit withdrawal bill are being voted by the UK Parliament, and several Tories have made a decision to accept the government's view.
The result left Prime Minister Theresa May to fight another day as she tries to take Britain out of the bloc while retaining support from pro-EU and pro-Brexit wings of her Conservative Party.
"I am incredibly sad to have had to announce my resignation as a minister in Her Majesty's government so that I can better speak up for my constituents and country over how Brexit is now being delivered", Mr Lee said on Twitter.
The government says lawmakers should be offered a choice only between its final deal and no deal at all.
Meanwhile, Tory Brexiteer Bernard Jenkin told the government he would not accept ministers agreeing to Mr Grieve's demand for the House of Commons to assume control of Brexit negotiations in the event of no deal.
In an earlier vote, MPs voted by 328 votes to 297 to disagree with another Lords amendment which was linked to changes to the day Britain leaves the EU.
The possibility of a government defeat over the amendment began to look more likely after the junior Justice Minister Phillip Lee resigned from the government in order to vote for it.
3 - If there is no agreement by February 15, 2019, the government have to bring the matter to the Commons within five days. It also attacked the unelected nature of the House of Lords (which traditionally scrutinizes laws passed to it by the elected lower chamber), linking it to a perceived attempt to frustrate the Brexit process. May's Cabinet is divided between ministers including Foreign Secretary Boris Johnson, who support a clean break with the European Union, and those such as Treasury chief Philip Hammond who want to keep close ties with the bloc, Britain's biggest trading partner.
Parliamentary debates about complex legal amendments rarely rouse much heat, but passions run high over anything to do with Brexit.
The Daily Express, another pro-Brexit tabloid, issued a thinly-veiled threat to lawmakers, saying they should "Ignore the will of the people at [their] peril".
It is the legislation aimed at ensuring the United Kingdom has a smooth transition out of the EU.
The parts of his amendment which he expects to be taken forward by ministers provide a mechanism by which Parliament has to be consulted by the end of November in the event of no deal or if a proposed agreement is rejected, he said.
"I absolutely trust what the Prime Minister says to us", he told BBC Radio 4's PM programme.
A spokesperson for the Department for Exiting the European Union said: "On the meaningful vote we have agreed to look for a compromise when this goes back to the Lords".
"Parliament, don't stand against the people - implement their will!"