Prime Minister Scott Morrison has warned Australia will face new coronavirus outbreaks when social and economic restrictions are lifted.
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In the coming weeks federal and state leaders are expected to ease some of the strict measures that have led to infection rates plummeting.
A broader testing regime and a government contact tracing app are seen as key targets to trigger a relaxation of the economic shutdown.
"When we take further steps to ease restrictions we will continue to see outbreaks. That is to be expected," Mr Morrison told reporters in Canberra on Friday.
"What matters is being able to move on them quickly, to identify them."
Australia's coronavirus toll rose to 79 on Friday after deaths in NSW, Tasmania and WA, while 43 people are in intensive care and 29 are on ventilators.
More than 5000 of the 6673 people infected have recovered.
Chief medical officer Brendan Murphy said national cabinet was clear on the importance of testing and tracking.
"They want to be absolutely confident, before relaxing any measures, that we are in a position in this country to detect any community transmission of any significance," he told reporters.
Professor Murphy described Australia as the safest place in the world to be thanks to a world-leading testing and surveillance regime.
"No Australian wants to see hundreds of people dying a day from coronavirus," he said.
"We are not prepared to see that. That's why we are being so cautious and we are putting in these extraordinary surveillance measures."
Legislation to put privacy safeguards on the coronavirus tracing app is expected to be introduced when federal parliament meets between May 12 and 14.
Children returning to schools remains a focus of national cabinet, with the Australian Health Protection Principal Committee insisting returning to classrooms is safe.
However states and territories are taking a range of approaches.
Mr Morrison said social distancing rules, including having one person for every four square metres in a room, do not apply to classrooms.
"The four square metre rule and the 1.5-metre distancing between students during classroom activities is not appropriate and not required," he said.
The federal government is also threatening to step in if aged care providers continue to isolate residents from visitors beyond health guidelines.
"Having people stuck in their rooms, not being able to be visited by their loved ones and carers and other support people, that's not OK," Mr Morrison said.
Nursing homes will have to apply for exemptions if they want to put in harsher limits than the two short visits a day allowed under national cabinet recommendations.
Leaders also agreed to develop principles around what would make the return of elite and community sport safe.
Meanwhile, the government has issued a stern warning to the big four banks over concerns bridging finance is not being provided to businesses waiting for JobKeeper payments.
Banks agreed to establish hotlines to help more firms apply for loans while they wait for the government wage subsidies to roll out.
Australian Associated Press