Sinn Féin plans to table a motion of no confidence in Health Minister Simon Harris.
The party says his position is untenable because of his handling of the National Children's Hospital overruns.
Last week it emerged Minister Harris knew in August of potential overruns of hundreds of millions of euro.
However it's alleged he didn't tell his government colleagues until he had a final figure in November.
Sinn Féin say Minister Harris misled the Dáil, the government and the public by delaying.
But the motion looks likely to fail at the moment.
The party's health spokesperson Stephen Donnelly said the government can't collapse now right at the pointy end of Brexit negotiations.
This morning we publish a motion of no confidence in health minister Simon Harris.
— Mary Lou McDonald (@MaryLouMcDonald) February 11, 2019
The vote was announced earlier this morning by Sinn Féin's Mary Lou McDonald who wrote: ''This morning we publish a motion of no confidence in health minister Simon Harris.''