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Premier Daniel Andrews said the five-day "circuit breaker" lockdown has been justified by the positive cases confirmed in the first two-and-a-half days.
But he said it was too early to decide the lockdown would finish on Wednesday night.
"It's too early for a definitive prediction on Wednesday evening. It will become more clear today, tomorrow and Wednesday morning," Mr Andrews said.
"As soon as we can possibly give Victorians some news, one way or the other, we will. You want the most contemporary picture.
"I'm able to say these numbers are pleasing, you never want positive cases, but we are well placed."
Mr Andrews would not be drawn on confirming the lockdown would end on Wednesday evening.
"However, I have never been one to make bold predictions but this is a promising start," he said.
"I am not in position to confirm (the lockdown will end on Wednesday night) but I can say thanks to the hard work of Victorians getting tested, those isolating at home... and the large number staff working around the clock.
"I'm proud of Victorians for the work they put in and while (the lockdown) painful and difficult, they know and understand we are able to get this done."
Mr Andrews has clarified the latest locally acquired coronavirus case is same one that was being investigated on Sunday.
The case is a woman who attended a party in Coburg on February 6. She was asymptomatic and swabbed four times between February 13 and 14 returning both negative and weak positive results.
"Even through the result is unclear, we are assuming she is in fact a positive case," Mr Andrews said. "This has been a rapid response and one filled with an abundance of caution."
Earlier
TWO more COVID-19 cases have been recorded in Victoria.
Of the new coronavirus cases one has been acquired locally and the other is in hotel quarantine.
The new cases take the state's number of active coronavirus cases to 21
Data from the Department of Health and Human Services shows there were 25,144 tests yesterday.
More news
Yesterday health minister Martin Foley said announced the state government had tripled the COVID-19 testing capacity at the public laboratories.
The laboratories can now process about 30,000 tests a day with most results turned around in less than 24 hours.
Mr Foley said testing turnarounds are now at a speedy 17 hours.
"The people of Victoria need to be reassured that it is very likely that if they get a test in the afternoon, that they will have the result that the next day," he said.
"People from our pathology labs are some of the unsung heroes of our pandemic response and I want to give them a particular shout out."
Since January 1, Victoria has processed 4,694,136 coronavirus tests.
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