A baby koala discovered in the bag of a woman Brisbane police stopped for questioning a week ago has been reunited with the officer who found him.

The woman claimed she found the marsupial, named Alfred, at Nathan and was caring for him before being picked up by police in Wishart on outstanding matters.

The police officer who unzipped the bag to find the koala, Senior Constable Rio Law, was on Saturday reunited with the animal and his new carer Trudi Timbs, of the Ipswich Koala Protection Society, as well as Queensland Environment Minister Steven Miles.

Alfred is about 12 months old and weighed about 1.5 kilograms when he was found.

"He is progressing well, has no obvious injury or signs of disease, has gained a little weight in his first week in care and is responding to lots of TLC," Dr Miles said.

"He needs time to rest so that he can make a full recovery and after that he'll be returned into the wild.

"Lots of people will ask when that will be, and we can't say for sure.

"We will ensure he's fully fit before releasing him, and we also know he can't be kept in care too long, in case it works against him fending for himself when back in his natural habitat.

Senior Constable Law said she was relieved the joey was now in good hands.

"It was such a surprise to find him — we didn't quite believe it when the woman told us she had a koala in the bag," she said.

"I'm just happy that there is someone taking good care of him now and preparing for his return to his proper environment."

Dr Miles said the Queensland Government was committed to ensuring viable and healthy koala populations across the state.