Whatsapp messages from within the party appeared to suggest the Health Minister could enter the race, but they prompted Simon Harris to tweet that he has 'no intention of engaging in idle speculation',
Two of the other expected candidates, Simon Coveney and Leo Varadkar, agree Enda Kenny should remain in the position until after his St Patrick's Day trip to the White House.
Mr Kenny's expected to make a statement on his position at Wednesday's meeting.
