The state's transition committee met on Friday and agreed to lift the measures imposed earlier this week, which also cut the size of the travel bubble for cross-border communities.

After being reduced to 30 kilometres on each side of the border, that has now been reinstated at the previous level of 70 kilometres.

However, Police Commissioner Grant Stevens says the new arrangements will exclude the town of Portland in Victoria, where there has been evidence of COVID-19 in wastewater testing.

The tougher measures for Mt Gambier and surrounding districts were imposed when a local woman tested positive for the virus this week after spending time in Victoria.

She was transferred to Adelaide along with her four children, who have all tested negative.

Mr Stevens said all the woman's close and casual contacts who were placed in quarantine had also tested negative.

"These are all very positive signs. There is no evidence of COVID-19 in the wastewater testing for the concerned areas," he told reporters on Friday.

"There's no further evidence of any community transmission."

Mr Stevens said the outcome was a further example of South Australia's good work in responding to and managing coronavirus outbreaks.

At the same time, he said the state had to "acknowledge our good luck".

"I'd like to say South Australia has been well prepared to deal with COVID-19 incursions," the commissioner said.

"But there's no getting away from the fact that we've been extremely lucky as well.

"We've been fortunate enough to get on top of positive cases very early in the piece."

Meanwhile, South Australia has set a November 1 deadline for all public and private hospital workers to have had at least one dose of a COVID-19 vaccine.

They must also be able to show evidence of a booking to have a second dose.

The direction applies to clinicians, ambulance workers, allied health workers, cleaners, administrative and executive staff and students on placement, regardless of whether they work in a patient or a non-patient area.

SA Health said the direction brings South Australia into line with national recommendations with planning underway to extend the rules to the rest of the healthcare sector, including GPs, pharmacies, allied health and dental practices.

Those who provide a medical certificate can be exempt from the new rules.

Australian Associated Press