The Taoiseach said today that he will not abolish the 8th Amendment without considering what may replace it.
Enda Kenny has also refused to commit to holding a referendum in the lifetime of the next Government.
He also said that he has no intention of introducing abortion on demand in Ireland.
"I have no intention of abolishing the 8th Amendment without considering what it might be that might replace it," he said.
"And that means that no more than any other sensitive issue, I'm quite prepared to listen to people who have contributions to make in that regard."
Labour has already said that a pledge to hold a referendum to repeal the 8th Amendment, which enshrines an equal right to life of a woman and the unborn, will be in its election manifesto.