Three Independent TDs - Michael Lowry, Noel Grealish and Michael Healy Rae - are expected to vote for Enda Kenny to become the next Taoiseach tomorrow, in return for access and speaking time in the Dáil.
The three have opted out of a new technical group which will be formed this afternoon and involves the United Left Alliance and a number of other independent TDs.
Deputy Healy Rae said he had decided not to sign up to the technical group because he would have more influence by forming a loose alliance with Deputies Lowry and Grealish.
"I'll be in a better position to serve the constituents of South Kerry by opting out of this technical group," he said.
"I am confident that we will get the speaking time that we will require, and the access that we will need to serve the people that elected us."
Meanwhile the Fianna Fáil Cabinet of the 30th Dáil met today for the last time.
Taoiseach Brian Cowen and six ministers - most of whom failed to get re-elected - held their weekly meeting at Government Buildings this morning.
A number of judicial and county registrar appointments that were on the agenda were not filled and were left over for Taoiseach-elect Mr Kenny's team to fill once they are appointed tomorrow.