The detectives from East Gippsland were investigating an incident in Sale. The pirate broadcaster is believed to be operating from the East Gippsland area, a police notice said.
The broadcaster impersonated a police officer during the chase which began after an alleged attempt at robbery in a shop in Sale, according to a report in the Brisbane Times.
The man who reportedly carried out the robbery fled in a car along with a woman and the police gave chase.
The Victorian Government said the incident highlighted the need for a more up-to-date radio transmission system.
Victoria Police Minister Lisa Neville said Telstra had been given the job of installing base networks for a digital radio system.
This would be used by regional police, the Country Fire Authority and Lifesaving Victoria.
The system, costing $12 million, is expected to be up and running by mid-2018.