Australia is unlikely to reopen its border to international travellers until next year but will look to relax entry rules for students and other long-term visitors, Trade Minister Simon Birmingham said on Wednesday.

Australia has been largely successful in containing the spread of the novel coronavirus, which it attributes to curbs on international travel and tough social-distancing rules.

Birmingham said a quarantine rule for returning citizens could be applied to international students and other visitors who plan to stay for a long period of time.

"We can simply work through the 14-day quarantine periods that have worked so well in terms of returning Australians to this country safely," Birmingham said.

The return of international students will be a boost for universities facing big financial losses with the border closed as international education is Australia's fourth-largest foreign exchange earner, worth A$38 billion ($26.14 billion) a year.

Australia has had more than 7,300 cases of the coronavirus and 102 people have died from COVID-19, the disease it causes.

It recorded its biggest daily rise in new infections in more than a month on Wednesday, with most of them in Victoria, the second-most populous state.

Victoria reported 21 new cases overnight, of which 15 are returned travellers in quarantine, taking the total tally for the day to 22 cases, with some states yet to report their data.