From Tuesday, people coming across the border will only be required to have a day one coronavirus test and isolate until they get a negative result.

The new arrangements apply to people from Geelong. Those from Greater Melbourne are still banned from coming to SA.

The changes were approved at a meeting of the state's transition committee on Tuesday.

"This will be a massive relief to many people in regional Victoria," Premier Steven Marshall told reporters.

"We'll keep looking at the statistics, the information coming out of greater Melbourne, and if we can lift those restrictions, then we will do that.

"We still do have some concerns about greater Melbourne, there are still cases coming through."

Mr Marshall said health officials were reluctant to name a date for movement in regard to Melbourne but everyone was mindful of the upcoming school holidays.

"They still have significant mobility restrictions in Greater Melbourne itself. We'll continue to monitor that.

"But we also have to make sure we're protecting our state."

Victoria reported two new local virus cases on Tuesday, both residents of a townhouse complex.

SA reported one new virus case on Tuesday in a man in his 40s who recently returned from overseas.

The state currently has just two active infections, both people in hotel quarantine.

Australian Associated Press