CA chief executive James Sutherland late Saturday announced that the team's departure from Sydney on Monday would be delayed after the Department of Foreign Affairs (DFAT) told him there was a potential security risk to Australians.
CA's head of security was en route to the South Asian nation to speak to the Bangladesh Cricket Board (BCB) and government officials to get some "undertakings and understandings of what the situation is there in Bangladesh before we make further decisions," Sutherland told reporters in Brisbane Sunday.
"Our preferred position is to continue with the tour but the safety and security of our players and staff is the absolute priority and the first priority for us is to secure that."
Sutherland said the meetings in Bangladesh would start on Monday and stretch over a few days.
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"We will then make a judgement on what the likely scenario, in terms of the team's departure or not is, and then make decisions from there," he said.
DFAT said it updated the travel advice for Bangladesh on Friday to state that "militants may be planning to target Australian interests in Bangladesh".
"We remain in close contact with Cricket Australia and Bangladesh authorities on this matter."
The updated travel advisory also said: "Australian officials in Bangladesh have been advised to limit their movements in public places."
Bangladesh are due to host Australia for the first Test from October 9-13 in Chittagong and the second from October 17-21 in Dhaka. The Australians were originally scheduled to play a three-day warm-up match in Fatullah beginning on October 3.