Victoria reported two cases of local transmission on Sunday, taking the Holiday Inn cluster to 16.
Premier Daniel Andrews wants overseas arrivals slowed down.
Questions are again being asked about the adequacy of Victoria’s contact tracing system.
Epidemiologists have warned that Australia needs a more nuanced approach to responding to the UK COVID-19 strain than snap lockdowns, as Victoria looks on track to bring the Holiday Inn cluster under control before its five-day shutdown ends.
The state recorded two new local cases on Sunday after a woman and a child who attended a private family function in Coburg on February 6 with a COVID-19 case tested positive.