Australia have postponed their home Test against Afghanistan and three one-day internationals against New Zealand.
The matches, which were scheduled to take place this winter, will instead take place in the 2021-22 season because of the coronavirus pandemic.
Australia host India this winter for four Tests, three one-day internationals and three T20s.
Meanwhile, New Zealand have been given government approval to host West Indies and Pakistan.
The tour schedule is expected before the end of September.