Scott Morrison says he would welcome an inquest into the death of a woman at the centre of historical rape allegations against Attorney-General Christian Porter.
The South Australian coroner is weighing up whether to launch an inquest into the death of the woman in June 2020.
NSW police detectives met with the woman in Sydney in February last year and had contact with her on at least five occasions over the next three months.
However, on June 23 she indicated in an email to NSW police she did not wish to proceed with the complaint and two days later SA police advised them she had died.
NSW police are no longer investigating.
Mr Porter, who is on mental health leave from his ministerial role, this week strongly denied having raped the woman when they were both teenagers in 1988.
The prime minister said the inquest was a matter for the SA coroner.
"If they chose to go ahead with that, of course, I would welcome that," he said.
"If the coroner sought that, then I have no doubt that the attorney-general would co-operate with any coronial process," he added.
Mr Morrison is resisting calls from lawyers, women's advocates, human rights groups, Labor and crossbench MPs for an independent inquiry, saying there was "no alternative process" available to him.
However, the prime minister and Labor leader Anthony Albanese have reached agreement on a review of workplace culture at Parliament House to be led by Sex Discrimination Commissioner Kate Jenkins.
Ms Jenkins has asked for staff members and politicians to provide their first-hand experiences, which she said would be treated with sensitivity and confidentiality, with trauma support available.
She will provide an interim report mid-year and final recommendations in November.
The government has been under intense pressure for weeks after former Liberal staffer Brittany Higgins alleged she was raped by a colleague at Parliament House.
Ms Higgins is also in a legal stoush with her former employer, Defence Minister Linda Reynolds, who has apologised for calling her a "lying cow".
The minister said her words were in response to being criticised for not offering enough support to Ms Higgins, not related to the alleged rape.
After lawyers fired off a letter threatening to sue Senator Reynolds, she issued a fresh statement apologising for the remarks.
"Discussions are now under way through our legal representatives in an effort to resolve this matter as soon as possible, with any resolution to include an apology," she said.
"However, in the meantime, I want to express how deeply sorry I am for these remarks and for any hurt and distress they have caused."
Mr Albanese said the minister's position was untenable, however Mr Morrison said she retained his confidence.
Australian Associated Press