The national cabinet, which includes state and territory leaders, will meet twice next week to work through the detail of how restrictions would be rolled back.
Morrison: 'Australians deserve an early mark
Mr Morrison touted Australia's success in handling the COVID-19 pandemic, reporting that only approximately 1,000 active cases remain across the country.
He also said more than 3.5 million people have downloaded the CovidSafe app, but that "millions more" needed to in order for Australia to return to normality.
"It's over to you Australia," he said.
The number of new confirmed cases across Australia have been "consistently" below 20 a day, chief medical officer Brendan Murphy said, with the total number of confirmed cases in Australia sitting at 6,765.
Mr Morrison also announced an extra one-off payment of $205 million for the aged care sector, which has been plagued by outbreaks in recent weeks.
The additional payment brings the amount of federal government financial support for the sector to $850 million, he said.
Major aged care providers, including Anglicare and BaptistCare, have also agreed to a sector-wide code, which sets out rules around social distancing and visitation.
Aged care minister Richard Colbeck said 23 residential aged care homes had so far suffered outbreaks, including an Anglicare facility in Western Sydney, where a 13th resident died on Friday.
People in Australia must stay at least 1.5 metres away from others. Check your state’s restrictions on gathering limits. Testing for coronavirus is now widely available across Australia.
If you are experiencing cold or flu symptoms, arrange a test by calling your doctor or contact the Coronavirus Health Information Hotline on 1800 020 080. The federal government's coronavirus tracing app COVIDSafe is available for download from your phone's app store.
SBS is committed to informing Australia’s diverse communities about the latest COVID-19 developments. News and information is available in 63 languages at sbs.com.au/coronavirus.