The total number of active COVID-19 cases in the region has grown to eight.
Goulburn Valley Health chief executive Matt Sharp said the new active case was linked to to an existing active case in Shepparton, and was connected to the case at Greater Shepparton Secondary College's Wanganui Campus.
Mr Sharp also said there was one person admitted at GV Health with COVID-19.
"This person is not from the local area, so is not included in the number of current active cases in the region," he said.
Mr Sharp said GV Health was undertaking contact tracing related to all current active cases in the region, and a number of people had been tested for COVID-19 and were waiting for results.
"Anyone identified as a close contact will be called directly by the tracing team," he said.
"Anyone who is a known close contact and has been tested for COVID-19 must stay at home.
"Please note, contact tracing is a time-consuming process and our team are working as fast as they can to complete this as quickly possible.
"Further details regarding any community locations of concern will be provided once this information is known and if it represents a concern."
Mr Sharp said people without symptoms should not attend the Acute Respiratory Clinic at GV Health for testing unless they had been contacted by the hospital or the Department of Health and Human Services.
He said it was possible there would be additional new cases of people in the region testing positive for COVID-19 in coming days.
Victoria reported 394 new cases on Sunday, and 17 further deaths.
There are no active COVID-19 cases in the Moira and Strathbogie regions, and one active case in Campaspe Shire.
• Anyone who is unwell with any symptoms of COVID-19, no matter how mild, (such as fever, chills, cough, sore throat, runny nose, loss of sense of smell), should get tested immediately and stay at home.
GV Health's Acute Respiratory Clinic at Graham St, Shepparton, is open seven days a week from 8 am to 5.15 pm.