Earlier in the Dáil Mr Kenny told members that the decision on where the hospital would be located will be made with the interests of the children of Ireland in mind.
He told TDs that there had been too much playing politics with the issue in the past.
Meanwhile, a spokeswoman for Labour leader Eamon Gilmore has denied that his decision to do his own research on the location had contributed to the delay in choosing a site.
It has emerged that neither the Tánaiste nor the Taoiseach has a copy of a key report, even though the Dolphin Group’s examination of the competing bids has been with the Minister for Health for some weeks now.
RTE reported that A spokesman for Mr Kenny said the main priority was to make the right decision and said the report contained analysis and not recommendations.