European leaders should not listen to the “very wrong messages emerging from parliamentarians” who want to stop Brexit, Downing Street has said.
A senior British official said the PM had been clear to European leaders at the G7 summit in Biarritz that the idea Brexit will be stopped was “incorrect”.
Meanwhile, cross-party talks on how to avoid no deal are planned for Tuesday.
But Boris Johnson has repeatedly insisted that the UK will leave the EU on 31 October, with or without a deal.
The SNP, Liberal Democrats, Change UK, Plaid Cymru and the Green Party have all accepted the invitation to meet Labour leader Jeremy Corbyn to discuss proposals for an alternative government to be formed when Parliament returns in September.
If he wins a no-confidence vote, Mr Corbyn plans to form an emergency government, with himself as a caretaker prime minister, and then delay Brexit to avoid a no-deal scenario.
However, Jo Swinson, the leader of the pro-EU Liberal Democrats, said his plan risks jeopardising a vote of no confidence in the government.
At the G7 summit, the Downing Street spokesperson said: “We are leaving on October 31 with a deal or without.
“The prime minister would prefer it to be a deal but we will be leaving on October 31 and he is very clear about that.
“He thinks European leaders should not be listening to the very wrong messages emerging from some parliamentarians who think that they will stop Brexit.”
The official said Mr Johnson has been “repeatedly clear that parliamentarians and politicians don’t get to choose which public votes they respect”.
If a new Brexit deal was negotiated, the public would “expect Parliament to find a way” to pass the necessary laws to allow the UK to leave at the end of October.
On Sunday, Mr Johnson told the BBC the chances of securing a new Brexit deal were “touch and go”, after having previously said the odds of no deal were “a million to one”.
The G7 summit – a get-together of most of the leaders of the world’s largest economies – comes with just over two months until the UK is scheduled to leave the EU.
Ahead of Tuesday’s cross-party talks on how to avoid no deal, Ms Swinson said the discussions should examine how to seize control of Commons business, oust Mr Johnson and install an emergency “government of national unity”.
She said the Labour leader’s insistence on being interim leader meant there was a danger not enough MPs would support the vote.
In a letter to Mr Corbyn, she said: “As you have said that you would do anything to avoid no deal, I hope you are open to a discussion about how conceding this point may open the door to a no-confidence vote succeeding. Its success must be the priority.”
Labour has not responded to the letter, but has instead referred to comments made by its shadow international trade secretary, Barry Gardiner, who on Sunday described Ms Swinson as “extremely petulant” for dismissing Mr Corbyn’s initial proposal.
Mr Corbyn has said he would call a no-confidence vote at the “earliest opportunity when we can be confident of success”. That cannot happen before 3 September, when MPs return from summer recess.
In order for such a vote to succeed, Labour would require support from across the House of Commons, including the Lib Dems, the SNP and Conservative rebels.