"We provide those essential services and I encourage people, if they need to access our essential services, they are very welcome here," Cr Conkey said.

"But please, if you don't have to travel here and vice versa, if we don't have to travel to the border, please be aware of that...to be mindful that it's only essential travel."

Cr Conkey's comments came after multiple cases of people being turned away for treatment in Wagga amid confusion over coronavirus travel rules between areas like Albury and the rest of NSW.

A man having a heart attack was sent in an ambulance to Wagga Base Hospital from Albury this month to receive emergency cardiac care but was turned around mid-journey due to confusion over travel restrictions.

An Albury woman was due to have ankle surgery at Wagga Calvary Hospital this week after struggling for 12 months with the after-effects of an injury but was told she would have to wait until after the Victorian border reopened.

Calvary has previously said its policy was for doctors to "consider postponing the procedure if non-urgent" on a case-by-case basis for patients who have travelled from Albury or Victoria.

Cr Conkey said he was receiving regular briefings on the Australian Defence Force's NSW border operations.

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"As a community we cannot afford to be complacent and [Kapooka and RAAF Wagga] are doing everything in their power to mitigate this situation, which I appreciate...there is no risk to their community due to their actions," he said.

Cr Conkey said "sections of the community were becoming complacent" about measures to prevent infection.

"I was only last week at restaurant where social distancing was not the norm...I was disappointed," he said.