Premier Gladys Berejiklian told reporters the recent escalation in cases was concerning, but encouraged people to not panic.

"All of us should take the advice of the health experts, no doubt about it. But we should also go about our business and not panic, and that's the strongest message we can send," Ms Berejiklian said on Wednesday.

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"It's really important for us to take a precautionary approach ... we've made sure we've put in place everything we can to contain the spread."

The premier said there were no issues with toilet paper supply in NSW and urged the public to refrain from bulk-buying at supermarkets.

"People should just go about their daily business in terms of the products they purchase and I don't see a need to do that (bulk buy) at this stage," she said.

Retail giant Woolworths will limit customers to four packs of toilet paper per transaction after supermarket shelves were stripped in recent days.

Prime Minister Scott Morrison is urging Australians to stay calm despite the spread of COVID-19 and on Tuesday consulted with Coles and Woolworths about the virus' impact on supply chains and consumer behaviour.

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Woolworths said in a statement the four-pack limit - both in-store and online - would shore up stock levels in the face of "higher than usual demand".

"Woolworths has today moved to apply a quantity limit on toilet paper packs to ensure more customers have access to these products," the company said.

Company Kimberly-Clark, which manufactures toilet paper, is opening up its manufacturing lines in South Australia to deal with shortages.

Coles has been contacted by AAP for comment.

Australian Associated Press