Taoiseach Leo Varadkar has said that a no-deal Brexit scenario would only be as a result of decisions made by the British government or parliament.
Speaking on RTÉ's Today with Sean O'Rourke, Mr Varadkar said he was looking forward to having an early meeting and meaningful engagement with the next British prime minister.
He also said he was willing to listen to new proposals from the next British prime minister and compromise, so long as the same objectives are achieved.
Both Tory party leadership contenders, Boris Johnson and Jeremy Hunt, have said that they would not be willing to accept the backstop, even if a time limit was set.
Mr Varadkar said that there were a few ways to avoid a hard border.
However, he pointed out that the backstop was also designed to protect the Good Friday Agreement and the rights of citizens in Northern Ireland.
Mr Varadkar said it was a possibility that the backstop would apply to Northern Ireland only, adding that such a scenario would not go down well with the Democratic Unionist Party.
However, he added, it was the UK who insisted the backstop should apply to the UK as a whole.
Mr Varadkar said as far as he knew, the ports were ready to deal with a no-deal Brexit scenario.
He said it was not his intention to hold a general election this year, but "it may not be my call".
The upcoming Budget must, he said, focus on the two big issues facing Ireland - Brexit and climate change.