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South Australia has posted a new daily record of 995 COVID-19 cases, with the premier saying infections are doubling every three to four days.
There are 36 people in hospital with the virus as of Tuesday, including five in intensive care with one requiring ventilation.
The hospitalisations include three young children and three aged between 10 and 19. There are also two people in their 20s, five in their 30s and two in their 40s.
Ten of the hospital cases are unvaccinated or partially vaccinated, 14 are fully vaccinated and the status of the rest is unknown.
Premier Steven Marshall also flagged a business support package to help South Australians weather the current outbreak.
Mr Marshall said the reintroduction of restrictions on Monday - including density limits - would have a disproportionate impact on the hospitality, catering and fitness sectors.
"We want to offer them our support," he said on Tuesday.
"We've supported business in South Australia through the tough times already, that's going to continue."
But he defended the necessity of the restrictions, saying the state had to take action.
"We don't want New Year's Eve to be a superspreader event," Mr Marshall said.
The premier did not have any more details about the 94-year-old woman who died with the virus on Sunday. The coroner is investigating her cause of death.
"She passed while being infected with the coronavirus," Mr Marshall said.
"We're not sure what the cause of death is but that will obviously be ascertained in the coming days."
SA Health is urging the community to closely monitor themselves for symptoms and get tested as soon as any appear.
The state has now eclipsed 5200 new cases since November 23. More than four in five are the new Omicron variant.
More than 90 of Tuesday's cases were infected in the state by a known case, three were infected in the state with the contact unknown and eight acquired their infection interstate. The remaining 893 cases are still under investigation.
Three cases that were removed from case numbers on Monday have been re-added due to data reconfigurations.
There were more than 20,000 tests carried out on Monday.
There are 4767 cases in home quarantine and 86 cases in supervised quarantine.