The model, singer and actress was temporarily confined to a wheelchair after a collision with driver Delvinder Sing Bains in 2010.
Monk sued the driver in April, claiming he caused her severe injuries and ultimately thousands in medical costs.
TMZ reports that the 32-year-old is now asking for a minimum of $900,000 (£570,000) in damages, as well as money for legal costs, medical bills and loss of earnings.
Monk rose to fame in 2000 when she was one of the winners in the Australian version of Popstars.
She will appear on an upcoming episode of the Fox dating show The Choice.