The current restrictions are in place until Thursday night.
This comes after Victoria recorded three new cases over the past two days - one on Sunday and two on Monday.
The state officially recorded a total of five new local cases in the past 24 hours, including two new cases linked to a Southbank apartment complex revealed by authorities at a press conference on Tuesday afternoon, that have been included in today's official figures.
Officials deemed the new cases pose low risks of community spread as all have been linked to the existing outbreak but warned people to strictly follow the social distancing rules.
However, residents of a large townhouse complex in Melbourne's Southbank suburb have been thrust into isolation after two recent cases were linked to the building.
Covid-19 Commander Jeroen Weimar said the two new cases live in separate apartments "adjacent to the four other positive cases that we've already seen in that wider complex".
COVID-19 testing staff entering the Kings Park on Southbank apartment building, in Melbourne, Tuesday, 15 June, 2021.
Reported yesterday: 0 new local cases and 3 new cases acquired overseas (currently in HQ).
The low-rise complex, which consists of about 100 townhouses, has now been listed as a Tier 1 exposure site from 2 June to 14 June. Hundreds of residents were urged to undergo testing and to self-isolate.
A popular Melbourne market has been closed for deep cleaning after being listed as a Covid-19 public exposure site.
"They will be required to quarantine for 14 days", the health department said.
Acting Premier James Merlino flagged last week that Melbourne would likely move closer into line with regional Victoria from June 18, where two adults are now permitted for home visits each day.
"Some people have kids, some people need to go and do shopping", he said.
Gyms and indoor-entertainment venues will be permitted to reopen, and patron caps will increase in a number of settings, including hospitality (where up to 25 people will be permitted in venues before the density quotient kicks in).
Meanwhile, walk-in Pfizer vaccinations at Victoria's state-run hubs have been paused for the rest of the week in an attempt to preserve supply for already booked first and second doses.