Sixty-four per cent of people aged 18 and over in Victoria have now received three vaccine doses.
There are currently 1,162 patients in hospital and 44 in ICU.
Travellers currently need to show a negative COVID-19 test result in order to board a flight to Australia even if they are fully vaccinated.
Prime Minister Scott Morrison says the removal of pre-departure testing is an important milestone for Australia.
“While we’re never complacent about the challenges COVID can present and new variants, we’re watching all of those closely as we keep looking through that windscreen,” he told reporters in Cairns on Tuesday.
“Hopefully we can continue to see COVID in the rear vision mirror.”
But a spokesperson for Mr Hunt says he is continuing to receive health advice before making further changes to Australia’s biosecurity measures.
The current biosecurity declaration is due to lapse on 17 April, aligning with international cruise ships returning to Australian waters for the first time since March 2020.