Sinn Féin have put down a motion of no confidence in Tánaiste Leo Varadkar over the leak controversy.
The party claims he has yet to put forward a credible reason for giving a confidential GP contract to a friend of his in a doctors union.
The no confidence motion will be debated during private members time in the Dáil on Tuesday.
The party says his actions in leaking a confidential GP contract were unacceptable, and they do not think his version of events is a credible account of why he did it.
Mr Varadkar spent two hours in the Dáil defending himself on Tuesday.
He said the contents of the IMO contract were very much in the public domain by the time he gave a copy of the deal to his friend Dr Maitiú Ó Tuathail, who was then-head of the rival NAGP.
He apologised for his 'errors of judgment' in leaking the agreement, but said he had not handed the NAGP any unfair commercial advantage.
Both Fianna Fáil and the Green Party have publicly backed Mr Varadkar's position.
However it has caused dissent in Fianna Fáil in particular - with a number of TDs unhappy at the position taken.
Marc MacSharry, TD for Sligo-Leitrim, earlier told The Pat Kenny Show: "I felt the party's dealing and handling of the matter did not do anything for the credibility of any of us in Fianna Fáil.
"I believe that the Taoiseach's actions last Saturday and since, without consulting the wider body of the parliamentary party in any way, is what has damaged Fianna Fáil in the last week.
"I told him so, I think he needs to reflect on that now because things need to improve."
Deputy MacSharry said the "double standards" being presided over by the party this week were "a disgrace".
A Sinn Féin spokesperson said: "We took the decision due to the seriousness of this situation and the fact that the Tánaiste has faced no sanction nor has he given a credible account for his actions in providing confidential information to a friend.
"This motion will allow the Dáil to say to the people that no one is above being held to account and that there are consequences when you act as Leo Vardakar has done.
"We will be setting out very clearly that doing favours or giving preferential treatment to a circle of insiders is unacceptable and cannot be tolerated."
While a spokesperson for Mr Varadkar said he dealt with all the issues in the Dáil this week.
They said: "This motion clearly shows that Sinn Féin isn’t interested in the truth.
"They're only interested in political mudslinging, attacking the Irish Government at a time of national crisis and diverting attention from the unanswered questions about their receipt of public money in the North."