There are fears the rising cost of the new national children's hospital could mean other major infrastructure projects are delayed or scrapped.
The project is now expected to cost €1.4bn which is more than the initial estimate of €1bn.
Ministers will discuss the issue at today's cabinet meeting.
The Health Minister is also expected to give the go-ahead for initial building works at the site of the new National Maternity Hospital.
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The Irish Times reports Simon Harris has received assurances the Sisters of Charity will have no role, the state will be guaranteed ownership and that a public interest director will be appointed.
