Two more people in South Australian have tested positive for coronavirus, while SA Police has temporarily suspended all static drug and alcohol breath testing.

Key points: Three testing clinics are opening outside of Adelaide, bringing the total to six

Three testing clinics are opening outside of Adelaide, bringing the total to six Four of South Australia's 32 cases are being treated at home

Four of South Australia's 32 cases are being treated at home Police are stopping static drug and alcohol breath tests but will still use mobile RBTs

More than 600 people are being tested for the virus every day in South Australia.

The first clinic outside of Adelaide opened this morning, at Mount Barker in the Adelaide Hills, while a drive-through clinic will open at Whyalla and Port Augusta on Wednesday, bringing the total to six.

The two new cases announced by SA Health deputy chief public health officer Michael Cusack today were a man in his 30s who recently returned from Germany and a man in his 60s who returned from the United States, who had "close contact" with another case.

Of the now 32 cases diagnosed in South Australia, Dr Cusack said four were being treated in the "Hospital in the Home" program.

"In terms of the rate of the virus in the community, currently the rate is low," Dr Cusack said.

"The entry into South Australia has predominantly been from overseas, but there have been incidences from interstate."

Unley High School will reopen on Thursday after a teacher tested positive for the COVID–19 coronavirus.

Health Minister Stephen Wade said more than 10,000 tests had now been conducted despite the "relatively low level of infection" in the state.

"The Government is continuing to ramp up coronavirus testing," he said.

"There is still no evidence of sustained community transmission.

"That's why it's so important that we take every step we can to identify cases. The cases are related to travel."

SA Police has temporarily suspended all static drug and alcohol breath testing in response to concerns around coronavirus, following similar decisions interstate.

Assistant Commissioner Ian Parrott said mobile RBTs would still be used.

Police Association of South Australia president Mark Caroll said the union supported the decision after its discussion with the police commissioner over the issue.

Space to play or pause, M to mute, left and right arrows to seek, up and down arrows for volume. Watch Duration: 3 minutes 57 seconds 3 m 57 s Dr Norman Swan explains coronavirus terminology

No spectators at racetracks

Meanwhile, all horse racing events in South Australia will go ahead without spectators, including Easter's Oakbank racing carnival, as the industry responds to coronavirus.

The ban is effective immediately, and will mean there will be no spectators at the Gawler racetrack on Wednesday.

Thoroughbred Racing SA chief executive Nick Redin said the measure was needed to protect the more than 3,000 people employed by the racing industry.

He said the response may change if the virus spread to race day staff.

"If it starts to impact the jockeys, for example, we will be forced to probably go through a period of no racing until we know that we can provide the safe working environment for all the participants that are required to put a race meeting on," he said.