The incident took place at Winston Hills in Sydney on Friday when the girl's mother with her three daughters along with a relative were at the pool, the Sydney Morning Herald reported today.
The girl's mother gave cardiopulmonary resuscitation (CPR) and admitted her immediately to a hospital, girl's father Singh, who asked for his first name not to be used, said.
The doctor said family members told him they found the girl floating face down after she had been missing for two to three minutes.
"It was bad luck she was in the pool when the episode happened," he said.
She is now in stable condition and is expected to be sent home soon.
Earlier, the girl's younger sister, who is now three years old, went missing for 15 minutes before being found in the same pool two years ago. She had to be hospitalised for six weeks.