Radio host Mel Greig, who broadcast a prank call which revealed private medical details of the Duchess of Cambridge last year, is suing her employer for failing to provide a safe workplace.

Nurse Jacintha Saldanha committed suicide after taking a call from Greig and fellow 2DayFM presenter Michael Christian about Kate Middleton, who was being treated for acute morning sickness in a London hospital.

The radio host pretended to be the Queen inquiring about the Duchess's condition and was put through to another staff member after duping the nurse.

The hoax was widely publicised in the British media, and Indian-born nurse Ms Saldanha was found dead in her lodgings near King Edward VII Hospital a few days later.

Today, it emerged Greig has lodged an application with Fair Work Australia claiming her employer, Southern Cross Austereo, failed to maintain a safe workplace.

"The matter will proceed to confidential conciliation under the Fair Work Act," Greig's lawyer, Steven Lewis, said.

Fair Work Australia says if nothing was resolved through the conciliation process, Grieg would need to pursue legal action through the Federal Court.

Greig remains on an extended leave of absence, however Christian has returned to the airwaves.

Last month, Southern Cross Austereo honoured him with an Australia's Next Top Jock award after a 12-week competition.

The company has declined to comment on the matter before Fair Work Australia.

Greig has been given permission to appear at the inquest into the nurse's death, which is due to take place later this year.

Her lawyers say she is prepared to answer any questions the coroner or the family's lawyers put to her.