A South Australian mine worker and four of his household contacts have tested positive to COVID-19, SA Premier Steven Marshall says. 

He said South Australia would not being going into lockdown.

"Many people will be extraordinarily relieved about that," he said.

He said the man in his 30s had worked at the Granites mine in the Northern Territory and returned to South Australia on Saturday.

He and his family immediately self-isolated, but his wife and three of their four children — all under 10 — tested positive yesterday. The youngest member of the family, a baby, is yet to test positive.

The man had previously tested negative on his day-one test.

The whole family is now at Adelaide's Tom's Court Hotel, where positive COVID patients are taken.

Two grandparents who had brief contact with the family have tested negative.

People on flight to get tested

Chief Public Health Officer Nicola Spurrier said 121 people on the man's Virgin Australia flight 1742 from Alice Springs on Friday had been ordered to get a test and quarantine.

"Because I do not want this Delta wave in our community for obvious reasons, we are going to be considering that could possibly be a false negative test on Saturday, so because of that we have determined that everybody who was on that flight will be going into quarantine," she said.

The man wore a mask through Adelaide Airport, but he and his wife got takeaway food on the way home.

Professor Spurrier would not name the store and said SA Health was still determining who at the business would be considered close contacts.

SA had avoided any local COVID–19 cases this year and has border restrictions with all states and territories except Tasmania.

South Australia announced a host of new social distancing measures, including restrictions on singing, to combat any undetected spread of COVID-19 on Monday.

Masks were made compulsory in personal service establishments and are highly recommended on public transport.

Masks recommended in public

Mr Marshall today "strongly" recommended wearing them in public.

"We think that this will help to keep us protected," he said.

He also announced the home gathering limit would be slashed from 150 to 10.

He asked people to work from home if possible.

"We're asking people to consider if they can't socially distance while they're at work and there is an ability to work from home, this might be something people consider at the moment," the Premier said.

"Of course, this doesn't apply to essential workers, and it probably won't apply to every workplace in South Australia.

"What we're saying though is if you can't socially distance at work for the foreseeable future and we're not talking about a long period of time, but we are asking people to consider whether it might be more appropriate to work from home."

SA Police said the restrictions only applied to Adelaide, the Barossa Valley, the Fleurieu Peninsula and the Adelaide Hills but more details would be provided later today.

Doubts on AFL match

The AFL has today confirmed players and staff from both Adelaide and Port Adelaide football clubs will leave South Australia on a charter flight and travel to Victoria this afternoon.

They will join the other 16 teams already in Victoria.

The Crows suspended ticket allocations for its match against Brisbane — originally scheduled for Adelaide Oval on Saturday — ahead of today's press conference.

Port Adelaide will still take on Hawthorn at Docklands on Saturday night.

Six separate cases were detected in hotel quarantine yesterday. 

The last locally-acquired COVID–19 cases in South Australia were during the Parafield cluster in November.

Testing has ramped up in recent days, with 8,000 people being swabbed in South Australia on Monday.

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