That's if they form a coalition with Fianna Fail and Fine Gael
The Irish Times reports the party would want Eamon Ryan to lead such a government for one out of a five year term.
Fine Gael has said it would want the position of Taoiseach to be rotated in any coalition with Fianna Fail.
Micheál Martin says he would go into government with Leo Varadkar's party, and hasn't ruled out a rotating Taoiseach.
