MPs who do not want the UK to leave the EU without a deal are trying to limit the government’s financial powers in the event of a no-deal Brexit.
The House of Commons will vote shortly on a cross-party amendment to the Finance Bill, which enacts the Budget.
Several senior figures back the move, but International Trade Secretary Liam Fox called it “irresponsible”.
Brexit Secretary Stephen Barclay told Sky News he did not think the cross-party action would be “catastrophic and shut down government”.
He said it was “contradictory” for MPs to seek to block a no-deal Brexit having voted to trigger a two-year countdown to the UK automatically leaving the EU.
“Once you’ve triggered Article 50 there are two options: you either have a deal… or you have no deal,” he said.
Ms Cooper said: “The risks to our economy and security from no deal are far too high and it would be irresponsible to allow it to happen.
“I do not believe parliament would support no deal and ministers should rule it out now.
“Time is running out and this is too serious for brinkmanship.
“Parliament needs to make sure there are opportunities to stop the country reaching the cliff edge by accident. This amendment helps to do just that.”
Treasury select committee chairwoman Ms Morgan said: “Many of us have been clear that parliament will not allow a no-deal situation to unfold, and with less than 12 weeks to go until 29 March it is time for parliament to show our opposition to a no-deal exit.”
A separate measure put down by Liberal Democrat leader Vince Cable – which was not picked to go before the Commons – would have prevented ministers from collecting key taxes unless parliament has approved its approach to Brexit.
Mr Cable said his amendment had the support of the SNP, Plaid Cymru and Green MP Caroline Lucas, but added Ms Cooper’s amendment “is a perfectly sensible proposal and we will get behind it”.
He told Sky News on Monday some MPs are concerned ministers will “sneak something through”.
Mr Cable added that it is imperative the government seeks the approval of parliament on Brexit “so the country does not crash over a cliff”.
After a no-deal Brexit rehearsal on Monday involving 150 lorries in Kent in the event of delays at the port of Dover and Eurotunnel in Folkestone, Theresa May held a cabinet meeting earlier to discuss the continuing Brexit deadlock.
A spokesman for the Prime Minister confirmed the meaningful vote on Mrs May’s withdrawal agreement with the EU will take place next Tuesday and cabinet ministers’ focus was on “what is needed to deliver on the vote next week”.
More than 200 MPs who signed a letter to the PM urging her to rule out a no-deal Brexit have been invited to meet her at Downing Street later.
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