Prime Minister Scott Morrison is itching to unlock interstate travel as new figures show border closures are costing nearly 5000 jobs a week and $84 million a day.
but warned other international travellers would not be visiting any time soon.
Western Australia, Tasmania and the Northern Territory have still not announced when their border restrictions will be lifted.
Mr Morrison says they should never have been closed in the first place.
"That's why this is so frustrating," he told 2GB radio on Thursday.
The prime minister said Australia had done a world-class job in keeping outbreaks and infection rates low.
"Businesses should be able to open and employ people," Mr Morrison said.
Two universities in the ACT want to fly in 300 foreign students next month.
Mr Morrison supports the idea, but pointed out South Australia would not fully reopen until 20 July.
"You can't have people coming from Singapore if you haven't got people coming from Sydney," he said.
"And our universities need to be fully open to domestic students in the first instance before looking at this."
The prime minister said there was "a bit of a glass ceiling on the economy" when it came to restrictions around overseas travel, which will be delayed until next year.
Everyone entering Australia is taken straight to a mandatory quarantine facility for 14 days. Source: AAP
"I can't honestly see international travel more generally, people coming from all over the world to Australia again, any time soon," Mr Morrison said.
Qantas has cancelled all international flights until late October except for services to New Zealand.
An anti-inflammatory drug successfully used to treat coronavirus infections in the United Kingdom is likely to be used in Australia.
"It's not going to prevent you getting it, it's not going to cure it," Health Minister Greg Hunt told 2GB radio.
Minister for Health Greg Hunt. Source: AAP
"But the early but high-quality evidence out of UK is that people who are very, very sick, it gives them a much better chance of survival."
The UK reported this week .
The widely available drug, costing about $10 over the pharmacy counter in Australia, could be used to treat the three coronavirus patients in intensive care in Australia.
Two are on ventilators.
"We're very concerned for them," Mr Hunt said.
"We know we now have an option for the doctors in intensive care to consider. There are no barriers to them using it."
Victoria reported 18 new cases on Thursday morning.This followed 23 new cases across Australia on Wednesday, mostly in Victoria.
People in Australia must stay at least 1.5 metres away from others. Check your state’s restrictions on gathering limits.
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