There have now been 17,800 people tested for the virus in SA, and the processing time has been reduced to 21 hours.

Premier Steven Marshall said that number represented the most tests per capita of anywhere in the world.

"Strong testing is a hallmark of how we have worked towards tackling the coronavirus head-on," he told reporters.

"I'm very pleased with the level of testing we have done, which gives us a high confidence level that as to this point in time we haven't had any community transmission of the disease."

The new drive-through clinic opened on Tuesday at Hampstead Rehabilitation Centre, north of the city, while the first clinic has been operating at the Repatriation Hospital in the southern suburbs.

SA Pathology clinical lead Tom Dodd said the first centre had been successful and was seeing one car every five minutes.

"People have been extremely cooperative and flow has gone very well, there's been no issues with anyone," he said.

Dr Dodd said he was confident South Australia had enough testing kits to keep up with demand, which is currently between 1000 and 1600 tests each day.

There are now 134 confirmed cases of the virus in the state, after an extra 34 patients were diagnosed on Monday.

The state government has also increased the cleaning regime for schools and has boosted supplies of sanitising gels, soap, toilet paper, paper towels for students and teachers across SA.

Premier Steven Marshall said the health and welfare of all South Australians was the government's top priority and practising proper hygiene was a key weapon in limiting the spread of the disease.

"Our schools and early childhood facilities are essential services in this time of national need, and we will continue to support them in every way we can," he said.

Australian Associated Press