Residents are being urged to remain calm and stop panic-buying toilet paper.
Tamworth residents have reported multiple stores in the city had empty, or near-empty shelves on Wednesday night.
Premier Gladys Berejiklian said the recent increase in coronavirus cases was concerning but encouraged people not to panic.
She added that there were no issues with toilet paper supply in NSW and urged the public to refrain from bulk-buying at supermarkets.
Woolworths has applied a quantity limit on toilet paper packs to ensure more customers have access to these products.
The purchase limit of four packs per customer transaction will apply in-store and online.
Tamworth Hospital, among others in the region, is hosting random drills to test staff preparedness for any cases of coronavirus.
A Hunter New England Local Health District spokesperson said there have been no confirmed cases of COVID-19 in the district.
While they are currently continuing to contain the spread of the virus, increasing international spread means that a pandemic, including local transmission, is quite possible and planning has begun.
The spokesperson said the Hunter New England Local Health District is reviewing and revising its pandemic plan in response to COVID-19.
As part of this, there is enhanced triaging in their Emergency Departments with broad screening of all presenting patients.