The ear-resistably cute rabbit was wearing a red harness but had no other form of identification.
The AFP (aka the Australian Fur Patrol) called the RSPCA after discovering the bunny.
Rescue Officer Nalika Van Loenen brought the bunny — who didn't seem to carrot all — back to a warm cage at the organisation's headquarters.
"This is the first job of this kind that I've come across in my 26 years of service with RSPCA," Rescue Officer Van Loenen said.
"The young male rabbit is clearly very well socialised and cared for. He is even harness trained.
"The police had put him in a large box and gotten some carrots from Subway, so he had some fresh shredded carrot to munch on while they waited for me to arrive."
The RSPCA is now appealing for information from anyone who may know how the one-year-old rabbit came to be dumped at the airport.
"A couple of scenarios came to mind — his owner could have been leaving the country and knew by leaving their pet in a populated area he would be found and cared for. Or they may have been planning on smuggling him on board a plane, but backed out at the last minute," Ms Van Loenen said.
"The pink Lorna Jane bag is very distinctive, so we really hope someone noticed it and saw something."
Is this some bunny that you used to know?
AFP bomb appraisal officers were called to investigate an abandoned bag in...
Posted by Australian Federal Police on Wednesday, 27 June 2018
Under SA's Animal Welfare Act, it is illegal to abandon an animal. The RSPCA urges members of the public to show compassion and never dump an animal.
"Rabbits are prey animals so they do get scared and stressed easily. He would have been very frightened," Ms Van Loenen said.
"The humane decision would have been to take the rabbit to an animal shelter during opening hours, where there are people who have the knowledge and capacity to take good care of them."
Anyone with information is urged to call RSPCA South Australia's 24-hour cruelty report hotline on 1300 4 777 22.