New South Wales Premier Gladys Berejiklian is urging parents to reconsider sending their children to school.

Classrooms across the state will remain open for the next three weeks until the Easter holiday break.

However, Berejiklian says the advice from health authorities has shifted to say that children should be kept at home.

“We are encouraging parents to keep their children at home,” she told reporters on Monday morning.

“We appreciate that for some parents that is not possible, so schools will remain open.

“No child will be turned away from school.”

In the video below: Teachers lobby to close schools

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She said about 30 per cent of parents were already choosing to keep their children at home and expected that number to rise.

Classes will now shift to an online platform.

State Minister for Education Sarah Mitchell says teachers are well-equipped to transition to online.

NSW Premier Gladys Berejiklian says schools will remain open - but kids should be kept at home. Credit: AAP

Some schools in NSW - including Epping Boys’ High School and Willoughby Girls High School - had to be temporarily closed due to virus cases.

Childcare centres will remain open “unless there is health advice to the contrary” - as will university and TAFE.

It follows Victorian Premier Daniel Andrews announcing school holidays would be brought forward to Tuesday.

Prime Minister Scott Morrison, however, had been adamant the country’s top medical advice said schools should remain open.

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“I said earlier today, and as the Chief Medical Officer has been stressing also at all of our presentations, social distancing, keeping the healthy distance ... is our biggest weapon in fighting this virus, (in) saving lives,” he said on Sunday evening.

The number of coronavirus cases in New South Wales was 533 on Sunday evening.