On Thursday morning, SNSWLHD confirmed two new cases of the coronavirus in the Goulburn- Mulwaree area as at 8pm May 13.

The source of their infection is known and the patients are currently in home isolation being supported by SNSHWLHD Virtual Community Care Team.

On Monday, NSW had its first day with no new cases being reported despite more than 6000 tests being conducted at clinics across the state.

Then on Tuesday there were six positive recordings, another four on Wednesday, and an 81-year-old who had been a passenger aboard the Ruby Princess died.

It was the 22nd death linked to the ship and took the NSW death toll to 47. Nationwide 98 people have died from the virus.

Premier Gladys Berejiklian said the number of extra COVID-19 cases that may occur in the future will depend on the level of activity by residents amid the easing of restrictions.

"Schools have gone partially back this week and next week and that'll be imputed into the modelling, we also know that from Friday there will be an impact," she said.

"The next 10 days for us are quite critical in looking at what the data is telling us about activity."

From this Friday, eased restrictions mean five visitors will be able to visit another household; cafe and restaurants will be able to have 10 seated patrons; and outdoor gatherings of up to 10 people are allowed.

Ms Berejiklian said once you increase the number of people who can get together and the things they can do, it will lead to an increase in COVID-19 cases.

"It gives everybody more freedom, but it also brings more risk in terms of the number of cases, but we have to keep moving forward.

"We have to accept that a manageable number of cases will allow us to have people keep their jobs, we don't want to see more people go into distress because they can't keep their job."

Free pop-up COVID-19 testing clinics have opened in Eden and Pambula as of this week.

Eden's temporary testing clinic will be open every Wednesday from May 13 between 9.30am and 1pm at Eden Community House, Twofold Arcade, Bass St.

The clinic at Pambula will be open every Thursday from May 14 from 9am and 1pm in the car park drive-up service at Pambula Hospital, Merimbula St.

The pop-up clinics are additional to the other fixed five site clinics, which are all open seven days 9am-5pm at: Bega, Cooma, Eurobodalla, Goulburn and Queanbeyan Hospitals.

The Southern NSW Local Health District has also updated its COVID-19 testing criteria.

If you are feeling unwell with any mild flu-like symptoms like a fever, sore throat, headache, fatigue, aches and pains, runny nose, loss of smell, loss of taste, diarrhoea, nausea/vomiting and loss of appetite, cough or breathing issues - call Southern NSW helpline 1800 999 880 (option 1) to book a free COVID-19 test.