Two more people have been diagnosed with coronavirus in South Australia, including the baby of a woman who was diagnosed on Wednesday.

Key points: The two new cases take South Australia's confirmed cases up to seven

The two new cases take South Australia's confirmed cases up to seven The baby and the mother are in a stable condition in the Flinders Medical Centre

The baby and the mother are in a stable condition in the Flinders Medical Centre A 24-year-old was yesterday confirmed as the fifth diagnosis in SA

The 40-year-old woman, who returned to South Australia from Iran on Sunday, tested positive on Wednesday morning.

Both she and the eight-month-old baby boy are in a stable condition in the Flinders Medical Centre (FMC).

The second new confirmed case is a 58-year-old-man who arrived in Adelaide from Taiwan on Tuesday.

He had recently travelled to Adelaide via Brisbane.

The two new cases are the sixth and seventh to be confirmed in South Australia.

SA Premier Steven Marshall said it was unfortunate that he had to announce another two cases so soon after Wednesday's confirmed cases.

"Yesterday we announced that there were two further confirmed cases of coronavirus here in South Australia," he said.

"Unfortunately, today I have to report that there are a further two cases of people living with the coronavirus here in South Australia."

The 40-year-old mother confirmed yesterday had travelled to Australia from Iran via Kuala Lumpur on Malaysia Airlines flight MH139.

The state's chief public health officer Nicola Spurrier today said the health department had been kept very busy with the amount of new cases.

She said both the mother and baby were doing well at the Flinders Medical Centre.

"The other case today is a gentleman, a 58-year-old from Taiwan, and we're — at the moment — organising for him to come to hospital for an assessment and also be isolated while we can assess that full situation," she said.

"So as you can appreciate, my team and the Department for Health and Wellbeing are very busy, because having so many cases all at once means the contact tracing is at the forefront of what they're doing today."

She said more information had emerged about the movements of the 24-year-old woman who was on Wednesday confirmed to have been infected with coronavirus, including that she had travelled around Europe, including Italy.

"We had information that we provided yesterday about a 24-year-old that had a travel history, and we're just sorting through all the details of that travel history to make sure that we're doing contact tracing adequately," she said.

"There are a number of places that young woman visited before she had the test results, and we are following through on all of those places to see if there are any cases that we need to provide direct information to."

New coronavirus clinic opens in Adelaide

SA Health on Thursday opened a dedicated clinic for coronavirus patients at the Royal Adelaide Hospital and said it was currently waiting test results for 14 people.

Mr Marshall said he wanted to make sure South Australians felt assured the State Government was doing what it could to stay in front of the disease.

Signs displayed outside a coronavirus clinic set up at the Royal Adelaide Hospital. ( ABC News: Stacey Lee )

"One of the things that we are doing, is today, we are standing up a dedicated clinic so that we can have the rapid assessment and testing of people who may be thinking that they have contracted the coronavirus," he said.

"We're doing this so that we can stay ahead of the spread of this disease.

"We see these images of what's occurring around the world … I'm very grateful to the team at SA Health for the work they've done over the past weeks, identifying the potential issues, the potential for an escalation in South Australia, and getting ahead of the game."

Dr Spurrier said the clinic was going to be important to keep people being tested for coronavirus separate to other sick patients at the hospital.

"We already need to make sure it's business as usual … other people will get sick in our community and need to come to our ED departments, so it's very helpful to have a separate service for people who have concerns or have developing symptoms that could be coronavirus," she said.

"The second very important reason, from a public health perspective, is it means that people who may have the disease are kept together and not into a space where there are other very vulnerable people.

"As you can imagine, the emergency department might have a number of very sick people, and it's better if we keep that as a separate service."