A no-deal Brexit would be a failure that both the British and Irish governments would be responsible for, Boris Johnson has said.
The prime minister is in Dublin for his first meeting with the taoiseach (Irish PM) since he entered Downing Street.
Downing Street confirmed Parliament would be suspended later after a vote on holding an early general election.
Opposition parties said they will not back the vote, meaning no election in mid October as Mr Johnson had hoped.
Speaking in Dublin, Mr Johnson said he believed a Brexit deal was still possible by the EU summit in October.
However Taoiseach Leo Varadkar said there was no such thing as a "clean break" between the UK and the EU.
Mr Johnson has ruled out asking the EU to delay the Brexit deadline of 31 October - but the Irish government said it would support another extension.
Ahead of the meeting, Mr Varadkar said he would be asking Boris Johnson how he plans to get a Brexit deal through Parliament when he does not have a majority in the House of Commons.
But Mr Johnson told reporters in Dublin that he was "absolutely undaunted" about what might happen in Parliament in the coming days.
Downing Street later confirmed Parliament will be suspended when business in the Commons finishes on Monday night or the early hours of Tuesday.