Premiers have flagged different approaches to eventually relaxing coronavirus restrictions on the Border, with freedom looking more likely to come to Wodonga before Albury.
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Prime Minister Scott Morrison said this week that social distancing would remain in place for at least the next four weeks.
Victorian Premier Daniel Andrews was open to relaxing the rules after that point.
Speaking on Friday, he said National Cabinet had a "cautious discussion" about relaxing social distancing measures, as long as it did not jeopardise slowing the rise of virus numbers.
"If we can relax in certain areas safely, where there is a reward and it far exceeds the risk, then of course that's what we'll do," he said.
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"I'll be having a discussion this afternoon with (Victoria's chief health officer) Brett Sutton around even more testing, even more contact-tracing to make sure that we're ready.
"If it's deemed safe to relax any of these measures, we're going to have to boost all of our detective work, we'll have to boost our testing."
NSW Premier Gladys Berejiklian was less willing to loosen the rules, saying a coronavirus cure could still be a year away.
"Social distancing is with us until there is either a cure or a drug that combats the disease in the serious stages," she said on Friday.
"I will maintain a cautious policy because I think that's what our community wants, but at the same time my government is very conscious of the economic stress and the economic impact this has had on people ... that is a stress we would like to be reduced where possible.
"There may be a case where there is a very, very low health risk but opportunities where people can keep up activity as much as possible."
Ms Berejiklian had better news for NSW parents, saying a "roster system" would be introduced to schools from the third week of term 2, where students could return to class on some days.
Most NSW learning would still happen from home, but students would also rotate through the school to ensure there was never a full classroom.
"It will be a limited number of students everyday," Ms Berejiklian said.
"We need to find a safe way to reintroduce face-to-face education ... The alternative is that students could face up to a year or more at home and we don't think that's appropriate so we do need to take these initial steps."
Victoria has maintained its policy for now that if children can learn from home, they must.