A South Australian man will face court after he allegedly coughed in a police officer's face and claimed to have coronavirus as he was being arrested.

Key points: A man has been charged after allegedly coughing on police

A man has been charged after allegedly coughing on police Police Commissioner Grant Stevens says the behaviour is "abhorrent"

Police Commissioner Grant Stevens says the behaviour is "abhorrent" South Australia recorded two new coronavirus cases on Tuesday

Police were called to a house at Whyalla Stuart, on the Eyre Peninsula, just before 10:00am on Monday following reports of a disturbance.

They arrested a 35-year-old man for aggravated assault but, during the process, the man told an officer he had "corona" and coughed in his face.

The man was further charged with aggravated assault on an emergency services member.

He was refused police bail and will appear in the Magistrates Court.

Police Commissioner Grant Stevens said he was not aware of the incident but knew of two similar cases involving police officers.

"It's completely abhorrent, it should be dealt with in the harshest terms and our officers have been advised that we shouldn't tolerate this behaviour," he said.

First new confirmed cases in four days

South Australia recorded two new coronavirus cases on Tuesday, after three days without a new confirmed case.

Chief public health officer Nicola Spurrier said the new cases were people aged in their 20s and 60s, and were not linked to the two repatriation flights that landed in Adelaide this week.

Dr Spurrier said they highlight the need for the state to remain vigilant.

"Quite clearly we are still seeing cases in South Australia," Dr Spurrier said.

"We need to be very, very certain when we look at adjusting restrictions that indeed we are absolutely in control of the disease at our state."

The new cases bring the state's total to 437 cases, however 86 per cent of people — or 376 cases — have now recovered.

Dr Spurrier said five patients remain in hospital, with two men in a critical condition in the intensive care unit.

There have now been 45,000 tests conducted in the state since February.