An OpenAI agent infiltrated a Medicare data portal on June 18 in the first known instance of an autonomous AI model breaching an Australian government website.
The break-in made global headlines after Prime Minister Anthony Albanese disclosed it on Thursday during a visit to the United Nations.
OpenAI discovered the hack in August during a broader review of its agents, but did not tell the government until September 10, when it emailed a public social services department inbox.
It's unclear whether the company's boss, Sam Altman, was keeping the incident under wraps when he met Deputy Prime Minister Richard Marles in San Francisco earlier in September.
"We didn't speak about the incident and this was before there had been a notification to the Australian government in any form," Mr Marles told News24 on Sunday.
"We have raised with OpenAI our concern about the fact we were not notified earlier and indeed in the form in which we were notified."
Dozens of other infiltrations have come to light in the days since, including of an American university and US commerce department sites as well as the US Securities and Exchange Commission.
Mr Altman, OpenAI's chief executive, and Anthropic boss Dario Amodei have both been called to appear before an Australian Senate committee probing data centres.
"There are serious questions for Sam Altman to answer about the OpenAI hack of Australian government websites," Greens senator and committee chair Sarah Hanson-Young said.
"This can't all be done behind closed doors.
"As they warn the world about the risks posed by AI, they are also going at hyperspeed to put more data centres in Australia. It just doesn't stack up."
The two tech titans publicly called on world leaders to slam the brakes on AI's development over safety concerns just days before the Medicare breach was aired publicly.
"If they truly believe their own warnings they must front up," Senator Hanson-Young said.
The Senate inquiry relates to AI data centres, while the Medicare breach is being examined by a separate probe that is expected to report back within weeks.
Inquiry hearings will resume in Canberra on Thursday, but the committee only has the power to compel people within Australia to appear.
Opposition frontbencher James Paterson welcomed the development and encouraged the two AI giants to send envoys.
"I think those companies should provide relevant personnel who can answer the questions and I think we do have an opportunity to get the top-level leadership engaged," he said.
Politicians of all stripes have queued up to hammer Mr Altman for his firm seemingly keeping Canberra in the dark about the Medicare hack for months.
Mr Albanese spoke with Mr Altman by phone during the UN trip and the tech boss reportedly admitted the company had not done enough.
Mr Albanese has dismissed assertions he timed the public disclosure of the breach to coincide with his airing of AI safety concerns on the world stage in New York.
Returning home on Saturday, the prime minister also said he was unaware of other hacks when he made his announcement on Thursday.
"We were acting purely in our national interest," he said.