Victoria has recorded 41 new COVID-19 infections, marking its 11th consecutive day of double-digit growth.
Officials are urging residents of Melbourne's hotspots to get tested, sending emergency text messages to those living in Keilor Downs and Broadmeadows.
The state government is seeking legal advice as to whether it can force returned travellers to be tested while in hotel quarantine.
Deputy Chief Health Officer Annaliese van Diemen says quarantined travellers have not caused community outbreaks so far.
It comes after Victorian authorities reported around 30 per cent of overseas travellers are refusing COVID-19 tests, despite multiple offers during their two-week stay.
New South Wales is taking a tougher stance as the state records six new cases.
Returned international travellers who object to being tested on the tenth day of hotel quarantine will have their stay extended by 10 days.
Liberal M-P Trent Zimmerman told the A-B-C those who refuse testing shouldn't be allowed to come back to Australia.
