Public schools in Goulburn remain open but parents have been encouraged to keep their children at home if possible.
Catholic school students throughout the region have also been urged to stay home.
Online learning has become a priority for schools to limit the transmission of COVID-19.
Mulwaree High School principal Judith Stuart said parents were encouraged to keep their children at home for the rest of the term if they were in a position to do so.
She said Mulwaree High School would remain open for students that had no suitable supervision options at home.
Students attending school have also been encouraged to bring their own laptop, if they have one, to minimise the sharing of devices.
Ms Stuart said that while there would be plenty of school work available, it was not expected that students complete it all.
"During this time, we believe that learning life skills around the home and garden are also valuable," she said.
"Students working from home will not be disadvantaged compared to those coming to school."
Goulburn High School principal Paul Hogan said the school executive team was monitoring the COVID-19 situation closely and was consulting with the Department of Education to minimise the impact on school and activities.
The school has enacted a risk management plan which involves cancelling events, reminding students and staff to wash their hands regularly, and undergone planning for whole school e-learning.
Primary schools throughout the area will follow similar measures.
Wollondilly Public School staff encouraged parents to keep children at home unless they were an essential service and needed to attend work.
They said children at school would be completing the same work as children at home and that there would be minimal supervision at school each day.
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