A baby died at a Melbourne hospital after being kept waiting for treatment for over two hours.

The Sunshine Hospital in west Melbourne announced an internal review after the child's death last week.

According to 7 News, a triage nurse initially assessed the baby after it was brought in by its mother.

But it was only after two hours of waiting in the hospital's paediatric waiting room that the child was eventually taken elsewhere in the facility for treatment.

The baby was left waiting for two hours by staff at the Sunshine Hospital in Melbourne last week

Doctors said by that time the baby's condition had deteriorated 'rapidly' and it tragically died later on.

Western Health, who oversee the hospital's operations, said they would be looking into the incident.

'Following assessment, the mother and baby were requested to wait in the paediatric waiting room,' Western Health Chief Medical Officer Dr Paul Eleftheriou said.

'The baby was later transferred to the paediatric area of the emergency department for assessment and care.

'Unfortunately, the baby's condition deteriorated rapidly and a short time later, sadly the baby died.'