Koori was removed from his mother Jolie's pouch in mid-September, when he was just over six months old.
Koalas normally only begin to venture outside their mother's pouch at between seven and nine months old.
Rash
Staff at Taronga Zoo in Sydney noticed Jolie had developed a rash and realised her health was beginning to deteriorate, so vets recommended moving Koori.
A member of staff said that he's now making a good recovery.
"He is on three to four feeds a day and, though he is still a fussy eater, he's now also very clingy - which is okay because he'll be with me for the next few months," she said.