Australia will play two Test matches against Bangladesh in October in the first series between the two nations since 2006.
They will play a three-day warm-up match, before the Test matches in Chittagong and Dhaka, starting on October 3 and 9 respectively.
Bangladesh are in the middle of a Test series against South Africa, but heavy rain has disrupted the second test.
Meanwhile, Australia are currently losing the Ashes series 2-1.