Two more SA schools are set to close as the number of local cases of the COVID-19 virus reaches 30, jumping up by 10 confirmed cases across the one day.

Unley High will both close down for a day, with Scotch College shuttering its doors for 48 hours.

Meanwhile, Flinders Uni will move its lectures online as a precaution against further spreading the virus within the southern suburbs campus.

An Unley High teacher tested positive for the virus, while a 12-year-old Scotch College student tested positive after her parent returned from travel.

The majority of the other cases involved overseas travel, however, at least three of the new cases are though to have come from human-to-human contact within the state.

Premier Steven Marshall has also warned that the state’s public transport system could stop if the virus situation escalates within the state further.

More than 100,000 COVID-19 test kits are expected to arrive in the country today as the nations braces for more testing.

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