Pippa Hackett is among those vying for the top spot.
Catherine Martin will not be endorsing either candidate in the contest for Green Party leader.
The Media Minister announced she will step down as deputy leader, following the resignation this week of party leader Eamon Ryan.
While she has not ruled out running in a future leadership race, she says now is not the right time.
Minister Martin also says she will endorse neither Offaly Junior Minister Pippa Hacket nor Roderic O'Gorman:
insists he has no interst in being "interim" leader of the Green Party. Minister O'Gorman insists he has no interst in being "interim" leader of the Green Party and has dismissed the suggestion she could run following the general election: