Victorian Premier Daniel Andrews has pleaded with beachgoers not to jeopardise the state’s progress as the weather gets warmer.
The state recorded 12 new cases and one death on Sunday.
Six were linked to known outbreaks at The Butcher Club, Chadstone and an Ashwood medical centre.
Six remain under investigation from the public health team.
Mr Andrews said although the weather in Melbourne on Sunday was not forecast to be as warm as previous days, he hoped authorities would not see groups gathering at the beach without masks.
“People love to go to the beach when it’s sunny but there’s a global pandemic on and we’re very close to beating the second wave,” he said.
“If you want to spend summer at the beach, then that will be the time to do that, if we don‘t do anything silly or anything selfish right now.
Mr Andrews urged Victorians to stay the course, adding “we are so, so close”.
“Let’s not do anything that might undermine the very positive numbers, the very strong performance we have seen in recent days.”
Mr Andrews said the case numbers were coming down and once they could be kept low, Melbourne could open up again.
He thanked Victorians that did go the beach and obeyed the rules.
“All of those Victorians who went to the park, who followed the rules and were able to connect with others, were able to get some sunshine and some fresh air,” he said.
“Heavens knows Victorians have earned it but it has got to be done in the right way.”
Victorian chief health officer Brett Sutton said mystery cases still remained a concern with three new cases identified in postcodes: 3145, 3023 and 3091.
“That is East Malvern, Caulfield East, Caroline Springs and Deer Park and 3019 is Braybrook to the southeast and west of Melbourne,” he said.
Prof Sutton reminded Victorians that the risk of transmission outdoors was lower however the number of households people interact with should be limited because they were new contacts.
“There are still opportunities for transmission of the virus that can happen before you develop symptoms,” he said.
“So limiting it, wearing masks and being outdoors are all important ways to make sure that the transmission doesn’t occur.”
One new coronavirus case recorded in the Mitchell Shire was linked to The Butcher Club outbreak.
Prof Sutton said regional Victoria would remain at risk while there are still essential workers who need to move into area.
“The numbers are a bit higher today, but the trend is still on track.”
A total of 2,705,443 tests have been conducted since the start of the pandemic, with 11,994 tests undertaken on Saturday.
The death of a man in his 80s, who was linked to an aged care outbreak, has brought Victoria’s coronavirus death toll to 806.
There are 91 active cases related to aged care.
Three Victorians are in intensive care and one person is on a ventilator.