The man died at Westmead Hospital, in Sydney's west, about 10.40pm (AEDT) on Friday, police said.
An autopsy will be carried out to determine a cause of death.
It follows the fire at Quakers Hill Nursing Home, in Sydney's northwest, during the early hours of November 18.
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Three residents of the home died in the blaze and another seven died in hospital.
A registered nurse working at the facility, 35-year-old Roger Dean, is alleged to have started the fire and has been charged with eight counts of murder.
A police spokesman results from the latest autopsy would determine if any further charges are laid.
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