A Department of Foreign Affairs and Trade (DFAT) spokeswoman said consular officials were making representations to local authorities in an effort to expedite Ms Magi's departure.
"Australians travelling overseas are subject to the laws of the country they are in, and consular officials can't prevent the detention of Australians or retrieve their passport if it is held by local authorities," the spokeswoman said.
Foreign Minister Julie Bishop said the graphic designer had been receiving consular assistance since she was charged with cyber crimes under UAE law, the Sydney Morning Herald reported.
"And I'm expecting her to be deported in a very short time, and Australian consular officials are providing her and her husband whatever support we can," she said.
After presenting herself at court to pay the fine on July 12, Ms Magi was taken into custody pending her deportation - a standard practice in Abu Dhabi, DFAT said.
Ms Magi earlier criticised the Australian Government, telling the ABC it seemed concerned only about the trade relationship with the UAE.
"I was under the impression that embassies were in countries to help citizens in times of difficulty," she said.
Ms Magi earlier said she was almost sent to an all-male lock-up before being turned away.
Nicholas McGeehan, a UAE researcher with Human Rights Watch, told the Sydney Morning Herald Abu Dhabi was a more repressive place than many people realised.
The picture, originally posted on her Facebook page, has since been deleted.
"You now have a cyber crime decree, which acts in conjunction with strong defamation laws, where basically anyone who says anything online, makes any comment online about another person, could fall foul of those laws if someone complains about them, particularly if someone has any connection to the authorities," he said.
- AAP, AFP