Enda Kenny is being challenged to call an early election.
It comes after claims by Chief Whip Paul Kehoe that Enda Kenny could serve another two terms as Taoiseach.
The opposition says Fine Gael seems to have forgotten that the will of the people decides who is in Government.
Political commentator Odran Flynn has said that some of the new political parties could be key in forming the next Government.
"The hard left, I mean people form across the Anti-Austerity Alliance, and there are several others, a number of these smaller parties could tag-on and form a Government, or help to form a Government," said Mr Flynn, " but how stable would it be?"
Sinn Fein's David Cullinane said that he doubted that the Taoiseach would call an early election, and he questioned why a party would look so far ahead to hypothetical future office terms when they faced so many real challenges right now.
"It’s a mistake for any Government to be looking six years ahead when they have an election to fight now," said Mr Cullinane.
"The people are waiting to pass judgement in my view, and I think the Government are going to be very surprised with the outcome of the election," he said.
"I'm sure they are already caught by surprise by the opinion polls. It's my clear view that this Government is going to get a kicking by the electorate, and that is why this Government will hold on for as along as possible."