South Australians are likely to be allowed to travel interstate within weeks as border restrictions begin to lift.

It is expected that border reopenings will happen in stages in the same way as local restrictions have lifted.

Premier Steven Marshall told The Advertiser that states exhibiting a low COVID-19 risk would be first on the list for easing restrictions.

Western Australia, Tasmania, ACT, Northern Territory and Queensland are the states most likely to be included in the first round of lifting restrictions.

The first of the two stages is expected to come into effect in the next couple of weeks.

Reopening the Victorian and New South Wales Borders would follow in the second stage.

Both Premier Steven Marshall and Prime Minister Scott Morrison have now flagged that they would like to see borders opened up in July.