Kevin Mack said he made an approach six weeks ago to address the issue.

"You would have thought they would have resolved it before they came out of lockdown again," Cr Mack said.

"The response has been lukewarm, if you understand what I'm saying.

"I hear we got the same response yesterday, 'oh I'm pushing it up to the right people', well who are the right people?"

Cr Mack said mayors in the border bubble would fight for the permitted reasons to change and they shared his frustration at the lack of Victorian government action in response to Mr Wilson.

"I understand the mayor of Indigo is quite upset about it, all the Victorian mayors on the other side of the river are quite upset about it because it affects everyone from here to South Australia," he said.

Indigo mayor Jenny O'Connor said the Victorian government needed to be more responsive.

"If they change restrictions in a day then people need to be able to access appropriate permits and they have to be workable and practical and we're not seeing that," she said.

"You can say restrictions are lifted, but if they're impractical they're not really lifted."

IN OTHER NEWS:

Mr Wilson did not reply directly, instead a government representative said "as a result of advocacy from the cross border commissioner, we were able to work with both the NSW and South Australian governments to implement arrangements for cross border residents and businesses".

"This has eased the burden on our border communities and enabled locals and businesses to move more freely to go about daily life and operations while necessary restrictions are in place to keep the community safe."

Meanwhile, Murray River region police chief Superintendent Paul Smith warned Victorians that checks on travel into NSW would be occurring.

"Our communities, both sides of the river, need to be aware it's still permitted purpose only, it's not daily life," he said.

"Unfortunately we've been through this before, we're going through it again."