Leeton Shire Council's Paul Maytom and Griffith City Council's John Dal Broi would both like to see their areas part of this border bubble after local government areas such as Hay, Wagga and Murrumbidgee were all included.

Anyone living in NSW requires a permit to enter Victoria - apart from residents who live in the border bubble.

Residents who live in the border bubble can freely cross the border by showing their driver's licence.

Councillor Maytom said places like Narrandera should also be included.

"We haven't had a case here at all ... it would be different if we had maybe, but I'm not sure on the logic of this," he said.

"What is the risk?

"We're not a hotspot area. We need to try and have some reasoning around this.

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"I support if there is a risk that we need to do something, but in this case I do question it. I do want to sit down and better understand why they are doing it this way."

The 'border bubble' covers Local Government Areas along the Murray River in NSW and Victoria, as well as parts of central Victorian and the Riverina.

Currently, the NSW border zone includes Albury City, Balranald, Bega Valley, Berrigan, Broken Hill, Edward River, Federation, Greater Hume, Hay, Lockhart, Murray River, Murrumbidgee, Snowy Monaro, Snowy Valleys, Wagga Wagga, Wentworth.

The Victorian border bubble includes Alpine Valleys, Benalla, Bendigo, Buloke, Campaspe, East Gippsland, Gannawarra, Indigo, Loddon, Mildura, Moira, Shepparton, Swan Hill, Towong, Wangaratta, Wodonga, Yarriambiack.

Residents within the border bubble do not need a permit to cross the border, they just need to show their driver's licence.

Councillor Dal Broi would also like to see MIA local government areas added to the border bubble.

He said with vintage coming up, it was crucial movements weren't restricted.

"If you're asking me if we should be included in the bubble, I do think the answer is yes we should be," Cr Dal Broi said.

"There are a lot of transient agriculture workers here in Leeton and Griffith that I'm sure are calling out for this. If Wagga, Murrumbidgee are included, I do believe we should be as well.

"Even if it was just to regional Victoria, especially for work and business purposes."

Member for Murray Helen Dalton is also calling for these areas to be included.

"Wagga is included, so there's no reason Griffith, Leeton and Carrathool should not be as well," Mrs Dalton said in a Facebook post.