NSW announced 11,709 fresh infections on Saturday along with 20 fatalities. Victoria posted 9064 cases and 19 deaths.
There are currently more than 330,000 active coronavirus cases across the nation. Almost 3200 patients are in hospital care and about 130 in ICUs.
Meanwhile, non-COVID hospital wards in Tasmania have closed after three positive patients were detected.
Two cases were discovered in a non-virus ward at Hobart's Repatriation Hospital and another at Royal Hobart Hospital.
The positive patients have been moved to a designated COVID-19 ward at the RHH, with all nearby patients being tested.
The impacted wards are closed to non-COVID admissions and visitors until further notice, except on compassionate grounds, as contact tracing begins.
"Members of the public should be reassured that it is safe to attend the RHH and Repatriation Hospital as required," Acting State Health Commander Dale Webster said.
"While the incident has affected one ward in each facility, all other areas of the hospitals continue to operate."
Elsewhere, Western Australia has moved into a new phase of pandemic management.
The state has scrapped quarantine for asymptomatic close contacts in line with national guidelines, dumped all remaining gathering limits, abolished G2G travel passes and removed vaccine requirements for interstate travellers.
But workplace vaccination mandates remain in place, meaning the unvaccinated are still banned from working in most industries.
South Australia is also scrapping COVID-19 close contact isolation rules, bringing its restrictions into line with NSW, Victoria, Queensland and the ACT.
From Saturday, anyone deemed a close contact will no longer need to isolate at home, although they will need to take five rapid antigen tests over the seven-day period.
They will also be required to wear masks when outside the home, are banned from visiting high-risk settings like aged care centres and must tell employers and schools they have contact with of their status.
Close contacts are urged to avoid non-essential gatherings or contact with vulnerable people and must take a PCR test if they develop symptoms and isolate until receiving the result.
LATEST 24-HOUR COVID-19 DATA:
NSW: 11,709 cases, 20 deaths, 1623 in hospital, 29 in ICU
Victoria: 9064 cases, 19 deaths, 448 in hospital, 30 in ICU