Residents in Geelong have until late October to nominate to be the city's mayor, after the shock resignation of Keith Fagg.
The local businessman stood down from the job last week because of health concerns.
There will be a by-election in Geelong in November, which is expected to cost ratepayers $200,000.
Victorian Local Government Minister Jeanette Powell says anyone can nominate to be mayor.
"It's a really important position and this is a really important city," she said.
"So we want to make sure that we give as many candidates the opportunity to put their hand up and to understand what they need to know and to do to be a candidate of this great city."
Ms Powell says sitting councillors can nominate to be mayor without stepping down from their role on the council.
She says if they are successful, the city will hold another by-election to fill the vacancy.
Acting mayor Bruce Harwood has ruled out nominating for the position.
Ms Powell says a review in 2015 will consider legislative changes to allow the mayor of Geelong to be elected with a running mate.
Under the 2012 City of Greater Geelong Act, the mayor is elected directly by voters, and the councillors vote on the role of deputy mayor.
The Committee for Geelong is calling for a running-mate model, which would see candidates for mayor running alongside a deputy.
Ms Powell says consultation in Geelong in 2011 showed residents were unsure about that idea.
But she says there will be a review of the legislation governing the City of Geelong and the City of Melbourne in 2015.
"Obviously when we do the review we'll ask the community what they think of that model," she said.
"And we'll have a look at both of those models to see whether there are improvements needed and what those improvements are."