The Mornington Peninsula has been included in the Melbourne lockdown, but Cr Hearn and local groups say it should be designated part of regional Victoria and exempt from the stage three lockdown.
Almost all of regional Victoria, including Geelong, has been spared the stage three restrictions.
Under the latest rules, Victorians can cross the border of metropolitan Melbourne only to buy food or other essentials, for medical and care-giving reasons and for work or study if that cannot be done from home.
Melburnians can leave their homes for exercise but are being urged to do it in their local communities.
The Mornington Peninsula currently has no recorded COVID-19 cases, but Cr Hearn said the influx from Melbourne might put the community at greater risk.
Bass Coast Shire Council chief executive Ali Wastie said it took three hours to reach Phillip Island from Melbourne on Wednesday, far longer than usual, because people were rushing to their holiday houses.
She said the Bass Coast lacked the health services required to deal with a coronavirus outbreak.
The area includes other popular holiday destinations such as Inverloch.
Ms Wastie said the council had recently been fielding complaints about overcrowding and traffic.
However, holidaymakers may have been legitimately booked for trips before the restrictions were announced.
The Victorian government said earlier this week that Melburnians could finish their holidays in regional Victoria but must then return home.
South Gippsland Shire Council chair administrator Julie Eisenbise urged Melburnians to follow the health guidelines and remain in their principal place of residence.
She said many people had previously stayed in their holiday homes, which was permitted at the time, on the South Gippsland coast.
“I do know in the original lockdown some people were very concerned about people coming down to their holiday homes,” she said. “It’s too early to tell whether that’s happening or not [this time].”
In Geelong, the number of confirmed virus cases has risen from two to six.
Greater Geelong acting mayor Kylie Grzybek urged Melburnians to stay home.
“Please don’t travel to Geelong or the Bellarine Peninsula unless it’s for essential purposes, and please don’t come to your holiday homes here for the next six weeks,” she said.
“This will help prevent the spread of the virus in our region, which at the moment has a very small number of active cases.”
Surf Coast Shire mayor Rose Hodge also urged Melburnians to heed the government’s warnings and stay home. The Surf Coast had one active case on Thursday.
“We just don’t have the medical facilities that you do in Melbourne,” she said.
Cr Hodge said she had received some reports of Melburnians travelling to the Surf Coast during the restrictions.
“We’ve got no powers to knock on doors, so we don’t know for sure,” she said. “But there could be the temptation to stay here.”
Great Ocean Road Real Estate director Ian Stewart said the population of towns such as Lorne had grown significantly since the previous round of restrictions.
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He said Lorne’s “non-permanent” residents “descended” some months back and had stayed since then. But he noted the latest school holidays had also been very busy.
“You drive into Lorne now at night and it’s lit up like a Christmas tree,” he said. “That’s not the norm in the middle of winter.”
Benjamin is a state political reporter