But one doctor says any early easing of measures was unlikely, warning contact tracing needs to improve first.
Victoria's latest run of low coronavirus cases is giving fresh hope that strict lockdown measures might be lifted early.
Yesterday's daily cases totalled just 14, the lowest in three months.
For metropolitan Melbourne, the 14-day rolling average has dropped to 36.2.
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Currently, restrictions across the city are due to be eased on October 26.
But that is based on Victoria recording a daily average of between 30 and 50 new cases by September 28 and fewer than five by late October.
Premier Daniel Andrews said recent case numbers was a positive sign towards easing the country's toughest lockdowns.
"These numbers are cause for great optimism and a positivity, I would hope, right across metropolitan Melbourne, just as regional Victoria this week has taken two big steps to open up and we're seeing stability in those numbers," Mr Andrews said yesterday.
But Melbourne-based GP Dr Vyom Sharma says it's unlikely residents there will get an early mark from lockdowns, with just five cases per daily a hard target to reach.
"If we achieve that that will be something that almost no country maybe outside of China has achieved after a second wave," Dr Sharma told Today.
"The numbers have come down because of these stage 4 lockdowns."
Tough lockdowns had done more to reduce curb the spread of coronavirus than contact tracing, he said.
"I don't think the deadlines are going to be moved forward drastically, certainly not the deadline for the end of the week and Sunday.
"The end of October deadlines, the reason I don't see those being moved forward drastically, is because that is going to be an enormous lifting of restrictions and a lot could happen in that time."
Some restrictions could be lifted, he said, but nothing major.
"Maybe a couple of restrictions here and there eased up. We have to really test out this new bolstered contact tracing that the Government has implemented."
Contact tracing needed to improve before freedom was reintroduced across Melbourne, he said.
"The truth is that did fail which is why we had to go to lockdowns. It's only when we have a very comprehensive, reliable system that we can get on with this COVID normal lifestyle that we all talk about."
Earlier this month, Mr Andrews suggested lockdowns could be softened earlier by using "common sense", but only if the numbers were right.
"If your 14-day average is going along well and then you happen to have one contained outbreak on the 13th day, for instance, that threw your numbers out, we would always reserve the right to apply common sense to this," Mr Andrews said.
"Similarly, once we get to that COVID normal, one case or one outbreak would not be enough for us to then reimpose rules."
On Thursday, regional Victoria entered a new phase of freedom with residents there allowed to leave their homes whenever they want to.
Source: 9News https://www.9news.com.au/national/coronavirus-victoria-melbourne-lockdowns-could-be-lifted-early-amid-low-case-numbers/fda95d8c-da00-47ba-8272-7cb1bc4ab6fb