Overturning the referendum result would be politically "calamitous" and worse than a no-deal Brexit, Liam Fox has claimed.
The International Trade Secretary, who is in Davos, said that some amendments tabled by backbenchers presented a "real danger" constitutionally.
READ MORE: Theresa May - 'The last thing we need is a second Scottish independence referendum'
Dr Fox told BBC Radio 4's Today programme that "there are many who talk about delaying Brexit when what they really mean is not having Brexit at all", saying that would be the "worst outcome".
Asked if he believed that a delayed Brexit - via an extended Article 50 period - was worse than a no-deal Brexit, he said: "You need to think about the political consequences as well as the short-term economic consequences.
"There is no doubt that leaving with a deal and minimising disruption both to the UK and our EU trading partners is in our best interest.
"But I think the most calamitous outcome would be for Parliament, having promised to respect the result of the referendum, to turn around and say it wouldn't."
Liberal Democrats are tabling an amendment designed to stop the Government from "running down the clock" to a no-deal Brexit on March 29.
Under the Lib Dem proposal, a cross-party Business of the House Committee would be created to decide when parliamentary time should be made available for Brexit debates and legislation, including on a second referendum with Remain on the ballot paper.
The party's Brexit spokesman Tom Brake said the move would put Parliament "in the driving seat of the Brexit process".
"Liberal Democrats will not stand by and allow Theresa May to shut down the right of MPs to deal with the damaging and unravelling consequences of this Brexit mess," said Mr Brake.
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"The Prime Minister might have survived a vote of no-confidence, but she has lost all authority in the House.
"We will be seeking wide-ranging support for our amendment, so we can get on and rule out a chaotic no-deal and give the people the final say on Brexit."
At Prime Minister's Questions in the House of Commons, Labour leader Jeremy Corbyn called on Theresa May to rule out a no-deal Brexit and open the door to a customs union with the EU.
But Mrs May said that while the Labour leader was willing in the past to meet with Hamas, Hezbollah and the IRA, he had refused to meet her to discuss Brexit.
Mr Corbyn said: "The Chancellor and Business Secretary agree - and I quote - there is a large majority in the Commons opposed to no-deal.
"So will the Prime Minister listen to her own Cabinet ministers and take no-deal off the table?"
Mrs May said the whole Government was "working to ensure that we leave the EU with a deal - and that is the way to avoid no-deal".
She added: "The Right Honourable Gentleman has been willing to sit down with Hamas, Hezbollah and the IRA without preconditions, yet he won't meet me to talk about Brexit."
In a swipe at Mr Corbyn's explanation of photos showing him holding a wreath at a cemetery holding the graves of Palestinian fighters, Mrs May said: "In this case, he's neither present nor involved."
Mrs May said extending Article 50 would not resolve any issues as MPs would reach a point when they had to decide if they want no deal, a deal or no Brexit.
She said the exit date of March 29 was not "arbitrary" and told MPs: "Extending Article 50, I don't believe, resolves any issues because at some point members of this House have to decide whether they want to have a no-deal situation, agree a deal or have no Brexit."
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