A Murrumbidgee Local Health District spokesman said all of the coronavirus tests had given the all-clear, both in Wagga and at hospitals across the health district.

"Wagga Wagga Base Hospital has risk assessed and screened 20 people in the past three weeks for COVID-19. All tests returned negative," the spokesman said.

"There have been no positive cases of COVID-19 identified in the Murrumbidgee region to date."

NSW Health said people who want to get tested for coronavirus can get a referral from their local GP or order a test from their hospital's emergency department.

People concerned they may have been exposed to coronavirus are being urged to phone ahead, rather than just arriving at hospital emergency departments or doctors' surgeries.

The official advice from the Murrumbidgee Local Health District, and NSW Health to anyone with concerns is firstly to isolate yourself from other people, then call your doctor, or your local emergency department or Healthdirect on 1800 022 222 so that appropriate procedures can be put in place in anticipation of your arrival.

NSW Health recommends people seek medical attention if they develop a fever, a cough, sore throat, or shortness of breath within 14 days returning from an affected area.

They are also advising against bulk-buying items such as toilet paper, paracetamol, or canned food.

The message comes as Wagga's pharmacies struggle with widespread supply shortages, with panicked customers stockpiling on medical goods.

The Bush Chemist pharmacy assistant Zoe Lawrence said some supplies such as face masks had been sold out for more than a month.

"We had a lot of the face marks sold around the time of the bushfires," Ms Lawrence said.

"We still have a lot of people coming in and buying in bulk."

Blooms Pharmacist staff member Alison Rudd said she'd noticed customers coming up to the counter with large quantities of hand-sanitiser, leading to shortages over the past week.

"There's high demand, but hopefully it's a short term thing," Ms Rudd said.

"We're hoping to get stocks in in the near future."

Kooringal Pharmacy said it wasn't the only place that had run out of hand sanitiser, with its usual supplier also having run out of the product.

Pharmacy Guild of Australia president George Tambassis urged shoppers not to stockpile medicine, warning it could lead to shortages for patients who really need it.

"Paradoxically, if panic buying does take hold for medicines and other products, shortages may well arise - and we certainly hope this can be avoided," he said.

Rural Doctors Association president Dr John Hall said rural Australians had no reason to panic.

"So far, the exposure in rural areas is very low so even if you are sick, you probably don't have coronavirus," Dr Hall said.

"And whatever happens, stockpiling dunny roll is unlikely to be of any real benefit in the case of an outbreak."