"The victim has not yet been formally identified," Ross said.
The results of the postmortem would be sent to the coroner, he said.
"Police will continue to investigate on behalf of the coroner."
Questions as to the person's identity, the cause of the blaze and reports by neighbours about a friend of the occupant of the flat went unanswered.
Neighbours said the flat's occupant, a middle-aged man who used a wheelchair, had been drinking with a friend in the hours before the blaze.
The friend, a man, was seen to leave the area soon after emergency services arrived.
In yesterday's Otago Daily Times it was incorrectly reported the fire was deemed suspicious. Police are yet to comment on the cause.