South Australia will keep its existing COVID-19 border restrictions in place as it continues to monitor virus clusters in both Melbourne and Sydney.
The state's transition committee met on Tuesday and has continued the current arrangements, barring most travel from NSW but keeping the border with Victoria open.
But Acting Police Commissioner Linda Williams urged Victorians heading to SA to take a "commonsense approach" and get tested.
"You're welcome to come, but obviously in terms of when you arrive, we'd ask you to isolate and have a test," she said.
"It's not compulsory at the present time, but obviously it's in your interest and everyone else's interest."
South Australia reported no new virus infections on Tuesday, with two previously reported cases removed from the state's total.
SA Health said two positive tests in returned recently travellers had since been found to be old infections leaving SA with 10 active cases, all in hotel quarantine.
At present, South Australia has a hard border closure in place with NSW with no one from that state allowed to enter unless they are a returning resident, relocating permanently or an essential traveller.
Returning residents or people relocating will still need to quarantine for 14 days and can only make that trip once.
The border with Victoria remains open, though people who have been to any virus hotspots in Melbourne have previously been asked to not come or to get tested.
Premier Steven Marshall said he remained confident Victorian officials there would be able to bring the outbreak under control.
But he said SA would look for 14 days with no community transmission before lifting coronavirus restrictions with NSW.
NSW reported four locally-acquired infections on Tuesday, as well as the case of an 18-year-old Berala man who visited Orange, Nyngan and Broken Hill in the state's central and western regions after a trip to a Sydney bottle shop at the centre of a recent cluster on Christmas Eve.
The possible exposure of people in Broken Hill will be of concern to SA, which has a 100-kilometre buffer zone in place with NSW, allowing cross border communities to travel in and out of each state.
Victoria reported three new locally-acquired cases, all linked to the 27-strong Black Rock cluster.
Also on Tuesday, the latest round of SA travel vouchers became available, offering $100 towards accommodation in the centre of Adelaide and $50 for accommodation in the city's suburbs or in regional centres.
Successful applicants have until the end of March to travel.
More than 70,000 were snapped up in just 40 minutes with Premier Marshall urging all those who secured a voucher to make sure they use them.
"By cashing your voucher in, you're helping support local jobs in our tourism sector," he said.
