It follows the party's failure to win the Dublin Bay South by-Election.
A Kildare Fianna Fail TD says Micheal Martin should step aside as party leader when his term as Taoiseach ends in 2022.
The party's disastrous result in a recent by election has led to renewed rumblings over his leadership.
On the #DBS by election and fallout. Firstly congratulations to @ivanabacik - an outstanding candidate who I have had the privilege to interact with both politically and academically, she will make a fine TD and the Dáil will be stronger for her presence in it.
— James Lawless (@lawlessj) July 11, 2021
Fianna Fail Ministers are urging members to support the Taoiseach, amid suggestions a no confidence motion could be tabled.
Kildare North TD James Lawless says such a move now would be innapropriate, but change is needed down the line
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