Premier Steven Marshall says the result is well below the state's seven-day average of 3967, with 4046 people recovering from the disease in the past 24 hours.

"In South Australia, we're at or near that peak and I hope the numbers continue to come down," he said.

"I hope we see the numbers in our hospitals stabilise and reduce."

Of the new cases, 2257 were detected with PCR swabs and 822 through rapid antigen tests.

Mr Marshall said hospital admissions jumped to 285, from 227 on Monday, but that was still well within the state's capacity to handle.

There are 24 people in intensive care with five on ventilators.

The number of SA Health staff with COVID-19 fell marginally to 558 but the premier conceded conditions remain challenging for health workers.

"I'm not going to sugar-coat it. These are very tough times for our health professionals," he said.

Mr Marshall met with union representatives of nurses, doctors and ambulance officers on Tuesday and agreed to fast-track a campaign to better educate people about when to call for an ambulance.

He said the government would look at "each and every" issue raised by the unions and was already exploring every avenue to increase the health workforce.

The state government also flagged an announcement in coming days about winding back the current requirement for all people to work from home where possible.

The premier said he was hopeful a staggered return could begin by the end of January.

"But there will be issues around densities in the workplaces," he said.

"We want to make sure this is going to support our businesses but we also want to make sure it's safe."

"People have legitimate questions, queries and concerns about a return to work and we hope to be able to answer those questions in the coming 24 or 48 hours."

Australian Associated Press