The Higher Education Minister will announce his party's Cabinet after the Easter recess.
A midlands TD is being tipped for a seat in Cabinet, after Simon Harris was elected as leader of Fine Gael yesterday.
The Higher Education Minister ran unopposed, which meant he was installed as Leo Varadkar's replacement.
Simon Harris says he will speak to current ministers to assess their positions on policy, ahead of his election as Taoiseach when the Dail returns from the Easter recess.
Ireland editor with the Irish Independent, Fionnan Sheehan, says Longford Westmeath Deputy Peter Burke is a likely candidate to fill a seat: