It is expected Cricket Australia will not make a decision on whether the Test team travels to Bangladesh for at least 48 hours.
The two-Test tour is under threat due to security concerns, with the Department of Foreign Affairs and security organisation ASIO reporting there was "reliable information" militants may be planning to target Australian interests.
Cricket Australia said their head of security was meeting with Bangladeshi officials in Dhaka.
"There has been no change to the situation or our current position. Our Head of Security has had a number of meetings with Bangladeshi government and cricket officials in Dhaka today," a CA spokesperson said.
"We are also continuing to liaise closely with the Australian government on the matter."
Earlier in the day, team performance manager Pat Howard aired his concerns.
"This is not one of the ones you want to get wrong," Howard told the Big Sky Breakfast radio program on Monday.
"We want to make sure we are not under-reacting, but also not over-reacting."
The Australian side is scheduled to fly out on Tuesday, but it appears their flight will be pushed back yet again.
The Bangladeshi government promised to provide the Australians with the highest level of security, saying it was shocked they were considering cancelling the tour.
After meeting Cricket Australia officials in Dhaka, Home Minister Asaduzzaman Khan said the Aussies would get security usually reserved for visiting heads of state if they went ahead with the tour.
"The highest security protocol will be provided for the Australian cricket team," Khan told reporters.
Bangladesh Cricket Board president Nazmul Hassan said the Australian foreign ministry's advice to delay the team's departure on Sunday "has shocked me".
"This is very disappointing for us. There is no risk for them in Bangladesh," Hassan told reporters.