Benalla's new Mayor says introducing direct flood protection for the town is not economically viable.
Barbara Alexander was among the councillors who rejected a motion to introduce flood levees or flood cuts at a meeting in September before the local government elections.
Councillor Alexander says she has not ruled out another debate on the issue.
However, she says the council needs to consider more cost-effective measures.
"I think the flood levees was $17 million and it wasn't a really viable project for the flood levees," she said.
"Benalla has the Broken River which runs through the middle of town and it's a hard one to settle which project would benefit it the most.
"I'm sure that that issue will always be an issue before Benalla Rural City because we are on the flood plain and flooding is an issue for Benalla Rural City, so I'm sure it will always be ... an item that will come to our attention."
© ABC 2012
12:21 EST A series of cold fronts and a low pressure system will sweep over Tasmania during the next week, bringing showers on most days and keeping temperatures to those more likely to be experienced in winter.