The Victorian government has agreed the border restrictions with NSW are becoming less relevant as the states' case numbers align.
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On Tuesday Victoria recorded 867 cases while NSW reported 863 new transmissions.
Victorian Health Minister Martin Foley was asked at the state's daily briefing for a response to the belief border closures were no longer relevant given the similar case numbers.
"As the risk profile changes, that's a pretty accurate statement, I think," he said.
He noted in recent weeks border restrictions had eased, allowing Victorians to return home from NSW.
"The last figure I saw was well and truly over 3000," he said.
"We've had all but one person return from that border bubble area and in the not-too-distant future we'll have more to say about how people from Greater Sydney can return to Victoria."
No new North East coronavirus cases were announced in Victoria's daily briefing on Tuesday.
Twenty-eight new cases were reported throughout regional Victoria, including 12 in Latrobe Council.
Health Minister Martin Foley said the 149 cases recorded in addition to Tuesday's daily figure of 867 had not been included earlier owing to a software update.
"This means that test results were not reported to the department's central system but none the less were still reported to all those people whose tests were undertaken, including those positive cases," he said.
Mr Foley said the software problem had since been fixed.
"This fortunately did not have an impact on either the people concerned getting their test results, particularly the positive cases, and more importantly the advice from the pathology advisers to isolate and await further information," he said.
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The four deaths were a man in his 80s, a woman in her 80s, a man in his 70s and a woman in her 50s.
Mr Foley announced a pilot program to test home quarantine check-in processes, with people currently isolating at home to be asked to participate.
He said the app-based format "which will add to the tools as to how our quarantining system can make sure that people are where they're meant to be and when they're meant to be".
"This will assist Victorians coming back from both overseas and internationally sooner rather than later as part of the national plan," he said.
Victoria recorded 705 new cases of COVID-19 and one death that day.
