The cabinet will discuss whether the government should ramp up preparations for a no-deal Brexit when it meets today.
It comes after Theresa May said MPs would not vote on her Brexit deal until the third week in January.
Labour leader Jeremy Corbyn has tabled a motion of no confidence in Mrs May, saying she had led the UK into a “national crisis”.
Number 10 dismissed the motion as “silly political games”.
With 101 days left until Brexit and many MPs still opposed to the government’s withdrawal agreement, ministers are due to consider a paper on plans for leaving the EU without a deal.
But a no-deal Brexit is also opposed by many MPs.
A cross-party group of 60 of them have written to the prime minister, saying it would do “unnecessary economic damage”.
Mr Corbyn is under pressure to push for a further vote of no confidence in the government as a whole.
On Monday night, he tabled a motion calling on MPs to declare they have no confidence in the prime minister because she failed to have a vote on her Brexit deal straight away.
Mr Corbyn said that, by January, a month would have been wasted since the original 11 December vote was postponed, with “not a single word renegotiated and not a single reassurance given”.
“The deal is unchanged and is not going to change,” he said.
No 10 refused to make time for the motion.
Other parties – the SNP, Lib Dems, Plaid Cymru and the Greens – have called on Mr Corbyn to push for a no-confidence vote against the government as a whole.