Metro South Health Public Health physician Bhakti Vasant said people who had been in these locations during the specified times needed to be alert for symptoms.
"Measles is a serious viral infection that causes fever, cough, runny nose, then a red spotty rash and sore eyes a few days later," Dr Vasant said.
"Symptoms usually start around seven to 10 days after infection but sometimes longer."
I urged those to speak with their GP immediately if they were uncertain of their immunity to measles or developed symptoms.
"Anyone who develops measles-like symptoms within the next fortnight should contact their GP for advice," he said.
"But, please call medical practice first to say you could have sarcoma, so that staff can take necessary precautions."
While extensive contact tracing was being conducted, Dr. Vasant said given the large numbers of people potentially exposed, further measles cases could arise in Brisbane or elsewhere over the next two weeks.
"If people are adequately vaccinated with two recorded doses of Measles Mumps Rubella vaccine, they are very unlikely to get the disease," he said.
"People who are unsure or have concerns about their immunity to the measles should contact their GP."
Dr Vasant said that due to recent outbreaks of measles overseas, it was important for travelers to get vaccinated before leaving Australia.