All Victorian schools will shut from Tuesday amid the coronavirus pandemic.

State Premier Daniel Andrews will push for a nationwide consensus of closing classrooms before school holidays are due to begin.

However, Victoria will go it alone if no agreement is struck, 7NEWS understands.

He will also push for a total lockdown of all non-essential activities.

This would result in the closure of pubs, clubs and other “non-essential” public venues.

In the video above: The latest from the coronavirus outbreak across Australia

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The last day of school in Victoria ahead of Easter holidays was due to be on Thursday.

“The decision whether to re-open schools after the Term 1 holidays will likewise be determined following advice from the Chief Health Officer,” Andrews said in a statement on Sunday.

Andrews, the other state premiers and health experts will meet Prime Minister Scott Morrison on Sunday evening to discuss any further steps to contain the virus.

At a press conference in Canberra, Morrison said there were ramifications to closing schools.

“It is still the case, and the evidence is, that the incidence of the coronavirus among younger people is far lower than it is for the rest of the population,” he told reporters.

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“And so the health risk to children is less, is our advice, than to other parts of the population.”

He says widespread school closures would have flow-on effects to other industries, including healthcare, due to parents being required to stay home and look after their kids.

“We will continue to consider all of these issues based on the expert advice.”

Victoria recorded a further 67 cases of the virus overnight, bringing the state tally to 296.