A Victorian DHHS spokesperson told The Daily Advertiser people who live in border communities don't need a permit to travel but must carry a valid form of identification with a current address when travelling.

The Wagga local government area is one of the "border bubble" communities listed by the Victorian government, which extend as far as Bendigo on the southern side.

Victoria closed its border to NSW late on January 1 after a spike in coronavirus cases, with official regulations regarding cross-border travel in place from January 3.

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A Victorian public health order outlining its border restrictions confirms NSW residents may enter the southern state without a border permit if the person is a "cross border community member".

However, the DHHS is asking NSW "border bubble" residents to only travel into Victoria if they need to.

The department has also said people can only cross if they are in a "border" local government area, meaning Wagga residents can travel freely in Victoria but those living in Junee and Narrandera, for example, cannot.

"Residents from the border bubble who have been beyond the NSW border region in the past 14 days will not be able to cross the border from NSW into Victoria," the DHHS spokesperson said.

"But provided they meet this criteria, both NSW and Victorian border residents are able to travel as they would for their normal day-to-day activities like work, shopping and eating out."

Wagga mayor Greg Conkey welcomed the rules as a "common sense approach" that would be beneficial for the city.

"That's good news for Wagga residents that would need to access health or other services just across the border," he said.

"We still need to be very vigilant because we have a lot of visitors coming to this city."

Cr Conkey said residents of southern NSW had a strong affiliation with Victoria, though he didn't consider Wagga to be a border community.

"There would be people who would benefit from this and have strong ties not only with northern Victoria but all areas of Victoria," he said.

On Sunday, NSW recorded no new locally acquired coronavirus cases over a designated 24-hour period for the first time in almost three weeks.

Two new cases were recorded late on Sunday night which will be included in tomorrow's figures.

Victoria meanwhile recorded three locally acquired cases of the virus.

The NSW LGAs included in the "bubble" are Albury City, Balranald, Bega Valley, Berrigan, Broken Hill, Edward River, Federation, Greater Hume, Hay, Lockhart, Murray River, Murrumbidgee, Snowy Monaro, Snowy Valleys and Wagga Wagga.