In total, there were over 30,000 tests returned and 17,612 vaccinations administered on Tuesday.

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The latest federal government data showed Bendigo was leading the nation in the race to receive a vaccination on Tuesday.

More than 52.6 per cent of eligible residents aged 15 and over have rolled up the sleeves to receive their first dose of the vaccine, while 25.1 per cent are fully vaccinated.

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Victoria's border bubble arrangements with NSW became stricter overnight and residents in the bubble can only cross the Murray River without a permit for six reasons. They are:

They include for necessary goods and services including for medical care and getting tested, care and compassionate reasons, paid or voluntary work, education, getting a COVID-19 vaccination and for sport and exercise.

Health minister Martin Foley joined Chief Health Officer Brett Sutton in a virtual press conference on Monday to address border media on the changes and said the strict rulings were "not just about protecting capital cities" but the whole state.

"We certainly don't want to see a situation of returning to the hard border and the disruption that that creates," Mr Foley said.

"The advice that we've got is that this is not so much about protecting capital cities, it's about protecting all of regional Victoria and metropolitan Melbourne."

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