The person is the 11th case linked to the Brisbane Youth Detention Centre coronavirus cluster.
Deputy Premier and Health Minister Steven Miles said 20,856 tests were conducted on Tuesday, the most people swabbed in a 24-hour period of the pandemic.
“I know the waits for tests were shorter yesterday thanks to the additional fever clinics and resources we were able to provide,” he said.
“But I also know that the time to validation and test results has grown slightly as well as our labs work to process all of those tests, and I thank everyone for their patience.
“A high testing rate is the only way we can assure ourselves that we are finding all of the positive cases of this virus. So I am very, very pleased that we have now reached that 20,000 tests mark.”
Chief Health Officer Jeannette Young said there was no evidence of community transmission linked to the Brisbane Youth Detention Centre.
Five workers at the centre and six of their close contacts have tested positive.
“There is still a risk over the next week that we will see that, because those people were out and about in the community,” she said.
“We need to keep alert for that.”