The plan would involved random testing, as well as testing those people with symptoms of the virus, and will be considered by National Cabinet on Friday.

Victoria's chief medical officer Brett Sutton said he wanted to see more testing in the state.

"Testing has been expanded very significantly in that anyone who has got compatible symptoms can be tested and we're encouraging people to come forward for testing," he said on Friday.

"We've got that capacity to do testing.

"There is a paper going to National Cabinet that will look at a national surveillance plan and I'm sure nationwide testing will be part of that surveillance plan."

IN OTHER NEWS:

NSW Premier Gladys Berejiklian also announced on Friday that testing would be expanded to anyone with symptoms, but stopped short of calling it surveillance.

"If you have symptoms, if you're worried you have COVID-19, if you've been in contact with anyone and you're concerned you have the disease - please come forward and get tested," she said.

"We're increasing the testing to include everybody across the state, not just those who work with vulnerable people, not just those who live in those high-risk areas where we've had clusters."

The call for more tests included on the weekends, as the states look for a way to control coronavirus by focusing on the contacts of those who test positive, while giving others some freedom of movement again.

"We want to see the number of tests go up above 8000 every day," Ms Berejiklian said.

"We want to boost our testing because as we consider lifting our restrictions, we have to have more tests, we have to have more people come forward."

If you're looking to stay up to date on COVID-19, sign up for our twice-daily digest here.