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Acting district operations manager Jenny Hanson said the neonatal self-care room was one of four and no mothers had been turned away.
"The leak was contained and there are no health risks associated with it.
"The leaks originate from a pipe in the ceiling space above."
It is understood the room will reopen this month.
The Queen Mary birthing pool remains closed after leaking in June and damaging the ceiling below.
"It has not impacted the use of the room below or safety of patients or staff.
"The pool is currently out of service and is scheduled for repairs," Ms Hanson said.
The damage reflected "well-known issues" with an ageing facility that needed constant maintenance, she said.
"The announcement of the new $1.4 billion Dunedin Hospital will allow us to make more detailed plans for our maintenance needs now we have a timeframe for the redevelopment," Ms Hanson said in response to queries from the Otago Daily Times.