Member for Albury Justin Clancy yesterday said the government wanted to keep the latest lockdown to a minimum.

"The real challenge lies ahead of us over the next few days," he said.

"So much hinges on our community response in terms of being vigilant, in terms of getting tested and in terms of being vaccinated.

"There's much over the next few days that we need to be doing to make sure that we are keeping our community safe."

Mr Clancy said further exposure sites might be listed as contact tracing continues.

He said it wasn't a mistake to lift the lockdown last Saturday.

"(It) was so important for our community over the weekend, the opportunity to have a sense of a little bit more normal life," Mr Clancy said.

"It is a challenge to be going back into lockdown.

"We will do everything we can to keep it as short as we can."

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Those in areas that aren't locked down, including Greater Hume Shire, are urged to avoid Albury if possible.

People can only enter Albury for permitted reasons.

Those from NSW who enter the Albury council area will have to follow the stay-at-home rules when they return home.

Mr Clancy said those rules would be in place for as long as the stay-at-home measures were enforced.

The stay-at-home rules don't apply to Victorians who have been in Albury.

Wodonga residents, for example, won't have to go into lockdown after returning from Albury.

Greater Hume mayor Heather Wilton said she was keen to keep the virus out of the area and advised people not to go to Albury if they could avoid it.

Mr Clancy and Superintendent Paul Smith did not comment on whether those who had tested positive had done the wrong thing.

The Albury police chief said officers would continue to ensure the measures were being followed.

Albury mayor Kevin Mack said there was an actual reason this time around to lock down the area given the positive cases.

"A week can turn into two or three weeks in the blink of an eyelid," he said.

Cr Mack said authorities were looking at possibly setting up a testing site at the Lavington Sports Ground.

"If you have any doubt, get tested," he said.

"I think really that's the message today.

"Vaccination is the solution ... because it's here."

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