The Department of Health and Human Services has confirmed a second positive case of coronavirus in the Warrnambool local government area.
South West Healthcare community partnerships manager Suzan Morey said the second person to test positive was not screened at any of its facilities.
She said that meant COVID-19 screening at other places was "working really well".
"What we do know at this moment is that this person, like the first, is comfortably recovering in self-seclusion, both cases are unrelated and the Department of Health and Human Services is following up any contacts these individuals may have had in the lead-up to their testing positive,"she said.
"We continue to urge everyone to practice good hand hygiene and social distancing to help keep us in a strong position to limit the spread of coronavirus.
"And you also might like to check in on the people around you who may be feeling a little anxious in these uncertain times. A quick phone call, SMS or chat on social media would be really thoughtful."
Some south-west medical clinics are also offering testing.
On Saturday the hospital confirmed it had recorded its first positive test, and praised a man who had recently returned from overseas for self-isolating.
When he felt unwell he self-isolated before contacting SWH by phone.
Hospital chief executive officer Craig Fraser commended the man's actions and said he did a great job of limiting his contact with other people.
"He was phone-triaged by a South West Healthcare nurse who assessed that he met the strict criteria for attending our respiratory assessment clinic," he said.
Mr Fraser said people in the south-west were doing a good job limiting contact, not gathering in groups, hand washing and hand hygiene and supporting each other.
"This has placed us in a strong position to limit the spread of Coronavirus throughout our local communities but we must be conscious of doing this more often and better," he said.
He said SWH was well prepared and would respond when people presented but the community's support by doing the right thing was extremely important in limiting the spread. The RAC service will operate 8am till 8pm seven days a week for phone contact with appointments booked for those who meet the selection criteria.
Sixty-seven new cases of coronavirus were confirmed in Victoria on Saturday - bringing the total number of cases to 296.
The new cases include 42 men and 25 women, with people aged from late teens to early eighties. At the present time, there are three confirmed cases of COVID-19 in Victoria that may have been acquired through community transmission.
Currently six people are recovering in hospital, and 70 people have recovered. More than 22,900 Victorians have been tested to date.
Of the total 296 cases, there have been 256 in metropolitan Melbourne and 25 in regional Victoria. A number of cases remain under investigation.
Multiple cases have occurred in the regional local government areas of Greater Geelong (8) Ballarat (3), Surf Coast (2), and Macedon Ranges (2) and Latrobe, Yarriambiack, Gannawarra, Hepburn, Moorabool, Mitchell, Mildura and Greater Shepparton have all recorded one case.
The Department of Health and Human Services follows up and monitors all close contacts of confirmed cases and provides them with information and support.
All close contacts must self-isolate for 14-days.
On Saturday South West Coast MP Roma Britnell, a former nurse, said there was no need for the community to be panicked by positive results.
"The global outbreak is something we must all take seriously," she said.
"Measures like social distancing and self-isolation are critical to stop the spread of the virus. It's also important to wash your hands regularly, cough and sneeze into your elbow or a tissue and generally practice good hygiene.
"If you are unwell, stay home. If you don't need to be out and about, please stay home.
"I understand these are uncertain times, but there is no need to panic. If we all play our part and follow the guidelines laid out by the state and federal governments, we will get through this together."
We have removed our paywall from our stories about the coronavirus. This is a rapidly changing situation and we want to make sure our readers are as informed as possible. If you would like to support our journalists you can subscribe here.