NSW Police's criminal investigation will cover the actions of the port authority, ambulance, police, the NSW Health department and Carnival Australia.
Detective Chief Inspector Jason Dickinson of homicide will lead the investigation and the coroner will be notified.
Federal Agriculture Minister David Littleproud - whose portfolio covers biosecurity - said society needed transparency.
"If the NSW Police are taking steps towards (the investigation) then they have information that would lead them to warrant that type of action and I would welcome that," Mr Littleproud told Sky News on Sunday.
"We live in a fair and just society and it needs to be transparent, and any investigation that police and officials make should be backed by any investigation that's required or whatever comes out of it obviously - I think we'll wait and see."
NSW Labor has called for Mr Hazzard to resign over the scandal, with the opposition labelling it "one of the greatest health disasters" in NSW history.
Carnival Australia has been contacted for comment.
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