The watchdog said the 32-year-old man was taken to the city's Derriford Hospital and has since been transferred to the burnsunit at Frenchay Hospital in Bristol.
Last September a resident at Greencroft died in a hospital burnsunit after treatment for scald injuries suffered in an accident at the private care home a month earlier.
The couple are currently in a privately-owned hospital in Male and the air evacuation to a specialist burnsunit in Manchester is expected to take place Monday or Tuesday.
The girls' father, Mohammed Riaz, who is believed to work at a plastics factory in Blackburn, survived the fire but is in a critical condition in the specialist burnsunit at Manchester's Wythenshawe Hospital after being resuscitated by firefighters.
After ten days in the pediatric intensive care unit at Johns HopkinsChildren's Center in Baltimore, her burns were healing so fast that doctors moved her to an intermediate care ward with hopes of releasing her soon.