The mother of a four-year-old girl who has COVID-19 has also tested positive for the virus.
Premier Annastacia Palaszczuk says the woman tested negative twice before returned a positive result among 8330 tests in the 24 hours to 6:30am on Sunday.
The woman was already in home quarantine when she tested positive.
However the premier is still concerned that the index case who transmitted the virus to a truck driver, who then spread the virus to the girl, is still out there.
Ms Palaszczuk has urged 1000 families, ordered into home quarantine exposed to the girl and her mother at the Windaroo State School and nearby daycare centre, to abide by health orders.
"We really need you to abide by their home quarantine, we saw how well it worked, especially when we dealt with the Indooroopilly cluster," she told reporters on Sunday.
There are also concerns about the lack of checking in at the Beenleigh Marketplace and nail salon in the complex when the infected truckie visited both venues on Monday.
Chief Health Officer Jeannette Young said at least 74 people were are the centre at the same time as the truckie, but had not checked in.
"So I'm very worried that there are a lot more people who went and attended last Monday morning and we need to get hold of you," she told reporters.
"So we're using the checking data that we've got, but it's not enough.
"So that is an ongoing risk so it's really really important that anyone who was there on Monday that they come forward so we can test them and make sure that there isn't ongoing spread in that Logan-Beenleigh community."
A Qantas pilot who lives near Kingaroy and flew from Brisbane to Hong Kong and then Melbourne has also tested positive on arrival in the Victorian capital.
He was fully vaccinated and works as a part-time freight truck driver and had been in the northern NSW Tamworth on August 20.
Queensland authorities are trying to work out where he got the virus and waiting for sequencing data from Victoria.
A third truck driver has also tested positive for COVID-19 in NSW after being infectious in Brisbane's southern suburbs for two days.
Dr Young said she was confident the risk posed by both cases is low.
Anyone in the Beenleigh and Logan areas with even the mildest of symptoms is urged to come forward for testing.
Australian Associated Press