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Chief Health Officer Jeannette Young says the 66-year-old suffered abdominal pains after receiving his first AstraZeneca first jab in Townsville on March 30.
He was taken to hospital to be treated for thrombosis and he remains in ICU.
"So of course my thoughts go out to him and to his family, and it's a very difficult time for them," Dr Young told reporters on Friday.
The Therapeutic Goods Administration said the man was one of five new clotting cases linked to the AstraZeneca vaccine in Australia, taking the total to 11.
They also include a 70-year-old Tasmanian man, a 74-year-old man and a 51-year-old woman from Victoria, a 64-year-old woman from Western Australia.
The government has already advised people under the age of 50 to preference the Pfizer jab.
TGA head Professor John Skerritt said there was nothing unusual about a small number of over 50s developing rare blood clots after receiving AstraZeneca vaccine.
"If you're only giving a medicine or vaccine for people over 50, that's the only group who will see an adverse event," he said.
Prof Skerritt said the risk of Covid-19 was far greater to older people than adverse reactions to vaccines.
"By being vaccinated we're not only protecting ourselves, but we're also protecting our loved ones, especially the older, more frail ones, and those around us in the community," he said.
More than 152,000 vaccine doses had been administered in Queensland by Thursday.
The government plans to have Pfizer hubs operational across the state by the end of this month to vaccinate people under the age of 50.
Meanwhile, the Queensland government has issued fresh travel restrictions on people who have been to any Sydney venues visited by two known virus cases.
Health Minister Yvette D'Ath said as of 1am on Friday, anyone in Queensland who has been to the exposure sites will be ordered into mandatory 14-day hotel quarantine.
Anyone in Queensland who has been in NSW since April 27 is also being urged to get tested if they develop symptoms.
"When there's any community transmission in any jurisdiction we are concerned," Ms D'Ath said.
"We believe that at this stage the restrictions we're taking are reasonable and proportionate.
"But we will be watching very closely what happens with the testing, and whether NSW are able to identify how this first gentleman was able to acquire the virus, having not come into direct contact with these overseas travellers, so that is concerning."
The health minister said no new cases had emerged in the community on Thursday after 5956 tests in the previous 24 hours.
Queenslanders should reconsider their need to travel to Sydney, she said.
"Even though today you may have not attended any of those sites, you may find additional sites tomorrow or following days," Ms D'ath said.
"So we believe that today, we believe the restrictions that we're putting in place are sufficient, but we are willing to to go further if we need to, as we have before."
Three new cases were also reported in hotel quarantine on Thursday.