Police are on the lookout for quarantine law-breakers and their union claims a ramp up is needed to ensure they have enough power to make Victorians comply.
The Police Association wants a state of disaster declared to give its members greater powers during the coronavirus pandemic.
About 500 police officers are tasked with enforcing the closure of non-essential services in Victoria and the mandatory 14-day self-isolation for travellers.
Police have knocked on doors and video called individuals to confirm Victorians are self-isolating, but their association says that is not enough.
"If police are asked to control the movement of people in our community, those powers don't presently exist in a state of emergency," TPA secretary Wayne Gatt said.
"They could if delegated under a state of disaster."
Although commending the premier's leadership during this health crisis, Mr Gatt has urged him to strip the decision-making lead from the health department and delegate it to police.
"It's police who are knocking on doors and in our streets trying to support the government's moves to slow the spread of infection," Mr Gatt said.
"Declaring a state of disaster allows the premier to delegate that authority directly to police."
These powers, Mr Gatt said, would allow police to "walk his talk and do their part to flatten the curve".
The premier on Wednesday warned Victorians restrictions will become more severe, noting there had been an acknowledgement at the national cabinet that some states would have to ramp up measures faster than others.
Individuals face fines of up to $25,000 and businesses could be forced to cough up $100,000 for breaching restrictions.