Of Victoria's 71 new locally acquired coronavirus cases on Monday, 14 are linked to Shepparton with 34 total cases linked to that cluster.

Goulburn Valley Health chief executive Matt Sharp said "in excess of 16,000 people" needed to get tested in the region, after a confirmed case at Shepparton's Notre Dame College on Sunday.

"Last night things took a little bit of a turn," he told reporters in Shepparton on Monday.

"Notre Dame College has around about 1600 students, 300 staff and then if you add that up with the household contacts of all of those people and their families, we're looking at several thousand people who are going to need testing."

The college has been listed as a tier one site, along with several other schools in the area including Greater Shepparton Secondary College and St. Mel's Primary School.

More than 3000 tests were conducted in the region on Sunday.

Mr Sharp said a new drive-through testing site was opened on Monday at Mooroopna Recreation Reserve to address long waits at testing locations.

He urged Shepparton residents not to travel across the region to be tested.

"We are trying to get on top of this as quickly as we can. We are throwing a huge number of resources at this right now, and we'll continue to do so in the coming days," he said.

There are currently 50 exposure sites listed in Shepparton, but Mr Sharp expects that number to grow.

Premier Daniel Andrews encouraged the Shepparton and wider Goulburn Valley communities to continue to come forward for testing and vaccinations.

"It's a strong and proud community, they look out for each other," he told reporters.

"They're doing everything that needs to be done and businesses in Shepparton are reaching out and supporting their fellow Goulburn Valley residents.

"It's the best of Victoria on display and they should be proud of that and we're proud of them and we'll continue to support that community at a very difficult time."

Australian Associated Press