The family of the woman who made a rape allegation against Attorney-General Christian Porter but died last year before an investigation could take place say they support an inquiry that would "shed light" on her passing.
NSW Police closed an investigation into the allegation last year due to a lack of admissible evidence, after the woman died by suicide in June.
A statement released through lawyers said "the family of the deceased continue to experience considerable grief arising from their loss".
"They are supportive of any inquiry which would potentially shed light on the circumstances surrounding the deceased's passing," it said.
It is the first time the family of the woman have made such a statement, in which they also asked for privacy at a difficult time.
Calls have been growing from political and legal leaders for the Prime Minister to call an independent inquiry into the allegation against Mr Porter, but Scott Morrison has emphatically said the matter ended with the police decision against an investigation.
Labor leader Anthony Albanese said the matter will not be resolved until an inquiry takes place.
"Now that the police have said that a criminal investigation cannot proceed, the issue does sit squarely with the prime minister," Mr Albanese said.
"It's time for the prime minister to give both himself and Australians confidence that Mr Porter is a fit and proper person to hold the office of attorney general."
Mr Morrison threw his support behind Mr Porter on Thursday, saying Australia must be a place where the rule of law is the guiding principle.
"In this country, there is a lot at stake. If you don't go too far from here, you will find countries where the rule of law does not apply, and you will be aware of the terrible things that can happen in a country where the rule of law is not upheld and is not supported, in whatever the circumstances."
Acknowledging it could be hard to rely on that principle in the circumstances of the case, where the matters could not be tested in court because the complainant has died, Mr Morrison said it was a vital element of Australia's democracy.
"The presumption of innocence, the investigation of allegations involving criminal activity by competent and authorised bodies, that is, the police, and to act in accordance with the decision of those bodies and, indeed, the courts that deal with any allegations that are taken forward for prosecution. That is our rule of law."
"It is something that every single citizen of this country depends upon - and that is the principle upon which I seek to support to ensure the good governance of our country. And so, as traumatic as these events are, that principle must continue to guide us, and will certainly continue to guide me and my government as we deal with these very sensitive issues."
The South Australian woman went to NSW police last year but withdrew her complaint citing medical and personal reasons before taking her own life in June.
The attorney-general is expected to be on leave for about two weeks but won't quit cabinet after vehemently denying the allegations.
The Greens and some independent MPs support a judicial probe.
Tasmanian senator Jacqui Lambie said if the public confidence in Mr Porter did not rebound he would be forced to resign.
"You just cannot have an attorney sitting there where the public has lost all confidence in him whether he's guilty or not," the independent told Sky News.
South Australia coroner David Whittle has asked the state's police to further investigate the death.
Police had provided the coroner with a case file on Monday but Mr Whittle found the investigation to be "incomplete".
"The investigation is continuing and once that investigation has been completed to my satisfaction I shall determine whether to hold an inquest," he said in a statement.
The woman's lawyer Michael Bradley has consistently called for an independent inquiry into the matter.
He said it would allow Mr Porter to formally respond and a determination about the allegations to be reached on the balance of probabilities.
Independent MP Zali Steggall called for the Prime Minister to show leadership by calling an inquiry.
Western Australia senator Michaelia Cash will act as federal Attorney-General and industrial relations minister during Mr Porter's absence.
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