LATEST: Dr James Reilly expects there to be a new taoiseach by summer

Update 12.22pm: Minister for Housing Simon Coveney has said that he does not believe there has been a change in Taoiseach's position on his departure.

Update 7pm: Michael Noonan says it is up to the next Taoiseach to decide whether there's a role for him in Cabinet.

But the Finance Minister says Enda Kenny might be around for a "little while yet" after what he says was a successful trip to the White House.