The man said he had been in isolation since Sunday, when he was contacted by health authorities. He has not been vaccinated but was "feeling better" on Thursday morning.
The woman arrived in Brisbane from Portugal and quarantined for two weeks at the Four Points Hotel, where she contracted the Alpha variant from another guest staying at the hotel who had arrived from Mongolia.
Health authorities believe a fully vaccinated quarantine staff member transported the virus between the two guests.
Premier Annastacia Palaszczuk is expected to address the media later on Thursday.
Meanwhile, New South Wales officials have remained adamant that there are not plans for Sydney to go into lockdown despite the surge in Covid-19 cases in that state, prompting concerns from health authorities that the state isn't doing enough to prevent the outbreak spreading.
The state confirmed 16 new cases on Wednesday, bringing the total number of infections in the outbreak to 37.
Of those cases, 10 were recorded within the official reporting period, with seven already announced on Tuesday. There were also 13 cases confirmed after the official reporting period, meaning they will be included in today's numbers.
A "superspreader" birthday party attended by 30 people in West Hoxton was linked to 10 of Wednesday's infections.