The High Court has written to more than 100 former staff to uncover the extent of sexual harassment involving judges' associates.
A group of female barristers have also lodged a complaint with the Legal Services Commissioner following allegations of sexual harassment and indecent assault against former High Court judge Dyson Heydon.
Police have been instructed to investigate the allegations, which Mr Heydon vehemently denies.
Prime Minister Scott Morrison said it was for the legal community to determine whether a sector-wide inquiry was needed, but hoped his own daughters would never find themselves in a similar situation.
"I want them to go to work in a safe environment where they are valued and respected for their talents and abilities," he told reporters on Thursday.
"It is up to all of us that we ... call it out where it happens.
"There are proper processes that to have to be followed, of course, and so they should be followed."
Men and women of the court have been asked to talk with Vivienne Thom, who led the original inquiry into Mr Heydon.
It is not yet clear what the court will do with any further allegations uncovered.
"The court reached out to offer an opportunity to talk to Dr Thom or to the court about their experiences whilst associates," a spokesman told AAP.
"Dr Thom will not be conducting any further investigation."
Her original inquiry, commissioned by the High Court, found six former judges' associates were harassed by Mr Heydon while he was on the bench.
He rejects the accusations.
"Any allegation of predatory behaviour or breaches of the law is categorically denied by our client," his lawyers said.
"Our client says that if any conduct of his has caused offence, that result was inadvertent and unintended and he apologises for any offence caused."
Three of the women are planning to sue Mr Heydon and the Commonwealth for compensation.
Canberra's director of public prosecutions Shane Drumgold has written to ACT Police after learning of the allegations.
Mr Drumgold has asked police to investigate the claims made by the women and another incident at the University of Canberra in 2013.
Mr Heydon sat on the High Court bench from 2003 to 2013 and was appointed chair of the 2014 royal commission into trade unions.
Labor wants Mr Heydon stripped of his Order of Australia honour and has demanded he repay the money he earned as royal commissioner.
Australian Associated Press