Coalition talks are still on-going, more than four weeks after polling day
Speculation is mounting over the possibility of another general election.
It comes after Kerry TD Michael Healy-Rae said a snap election could be called in May.
Coalition talks continue at Government Buildings in an attempt to form a coalition government.
Fine Gael says it is intensifying talks with Independents and small groupings in an attempt to form a minority government.
But the party says it will not be making contact with Fianna Fáil until it sees what its position is with these groupings.
Speaking this morning, Mr Healy-Rae said if another election is to be called, it will happen on May 20th.
"What we want to ensure is that the people of Ireland voted for their politicians to be in place and they voted for a government to be in place", he told Newstalk Breakfast.
"The people of Ireland did not vote that another election will have to take place on the 20th of May".
"If you do your sums and if you think this thing through, if there is to be another general election the only date will be the 20th of May".
While acting Justice Minister Frances Fitzgerald has conceded an election may not be far off.
And Fianna Fáil TD for Limerick, Willie O'Dea, told Newstalk Lunchtime he does not want to see another election.
Independent TD Finian McGrath says he hasn't yet decided whether to vote for Enda Kenny or Micheál Martin.
"As far as I'm concerned it's 50/50. It's about who is genuinely concerned about forming a government on the issues we got elected on," he said.