Owners of the Chinese Village Restaurant took the action on Wednesday after being contacted by COVID trackers on Tuesday night.

In Facebook posts, the business stated the move was in response to a driver who visited the restaurant at 8.30am last Thursday.

The operators have been told to stay at home awaiting further instructions as to what tier level of exposure they may be.

"We will update once we have further notice," the post stated.

"The whole Chinese family did COVID test this morning and all stay at home waiting for result and instruction from health department.

"Thanks for the support of our community."

When The Border Mail contacted the restaurateurs for comment, they referred us to the council, saying it could provide "more accurate information".

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However, Indigo Shire mayor Jenny O'Connor said had no more details.

"We haven't had any confirmation of any information about possible exposure sites," Cr O'Connor said.

She said health figures had not responded to the shire.

"All we can do is wait for the official information and that's what we're doing," Cr O'Connor said.

The Victorian Department of Health and Human Services did not respond to The Border Mail's inquiries.

Meanwhile, member for Benambra Bill Tilley has welcomed the Victorian Ombudsman launching an inquiry into the operation of COVID-19 interstate travel permits and related exceptions and exemptions.

"Anything that exposes the sham 'exemption' process that saw people submitting applications, hearing crickets for weeks and then getting a rejection letter with no explanation is welcome," Mr Tilley said.

"It has been a cruel hoax.

"I know it won't get anyone home next week but it will be a historical record of the Government's failure that left Victorians exiled, homeless and penniless."

Ombudsman Deborah Glass has received more than 80 complaints about the system which stranded Victorians at Albury Showground.

"Some people are telling my office they face effective homelessness, stuck interstate with nowhere else to go," Ms Glass said.

Cases include a Victorian wanting to return home to care for her adult daughter after being permitted to attend a funeral in NSW.

The probe will assess whether human rights have been infringed.

Ms Glass is expected to complete the report, which will be made public, by the end of the year.

Those wanting to contribute can phone the Ombudsman's hotline 1800 806 314.