Australian Prime Minister Scott Morrison. Photo: VCG

Australia will quickly deliver the result of a planned independent inquiry into parliament's workplace culture, the government said on Monday, as pressure grows after a newspaper published a third accusation of rape.

Two female employees of Prime Minister Scott Morrison's Liberal party said last week they had been raped by the same man in 2019 and 2020.

Both have yet to make a formal police complaint, but Brittany Higgins, who has spoken publicly about her alleged rape, said last week that she would do so, though it is unclear if she has lodged one with police.

Finance Minister Simon Birmingham, who is leading an internal inquiry into workplace culture, said he wanted an investigation that is to be set up next week to be impartial.

The complaint process is expected to be a central element of the investigation, he said.

Fueling pressure on Morrison, the Australian newspaper published on Monday the account of a third woman, who said she had also been raped by the unnamed former Liberal party worker on the night of June 29 and the morning of June 30 in 2016.

"I believe his actions constitute sexual assault, because he performed or tried to perform sexual acts on me while I was severely intoxicated and unable to provide valid and informed consent," the unidentified woman told the paper.

Already dogged by accusations of improper behavior toward women, Morrison's Liberals face a barrage of criticism about the way it handled Higgins' internal complaint to Linda Reynolds, who is now defense minister.

Higgins has said she felt pressure not to proceed with a formal complaint for fear of losing her job.

Reuters