Queensland's Premier and Chief Health Officer are reassuring people about the safety of the state's COVID-19 vaccination program, as the state government prepares to administer the first jabs on the Gold Coast tomorrow.

Thousands of vaccine doses have arrived in Cairns and Brisbane, with the first group of people, including the Prime Minister, already receiving the shot in Sydney on Sunday.

"There is no need to panic, we don't have any community transmission in Queensland, the rollout of the vaccine will be happening from now until the end of October and ... you will be told when it's your turn," Premier Annastacia Palaszczuk said.

"We hope to vaccinate more than 1,000 Queenslanders in the first week of this rollout.

"And over the next four to six weeks, we hope that there'll be 125,000 people in total vaccinated under category 1a.

"We get vaccinated for a whole range of diseases. We've been doing that all of our life, and immunisation is really important."

Chief Health Officer Dr Jeannette Young said it was the moment she had been waiting for, since the start of the pandemic.

"What a response we've had from the world scientists to have developed a vaccine that is so safe and so effective so quickly," Dr Young said.

Despite research by the Federal Health Department showing more than half of the adult population still had reservations about the vaccines, the State Government was now moving to boost confidence in them.

The rollout came as more than 2,000 people marched through Brisbane as part of an anti-vax protest on Saturday.

Many protesters carried placards that read "my body, my choice" and "we don't need no vaccination, we don't need no crowd control".

Dr Young said: "I'll be there getting vaccinated, with whichever vaccine is offered to me, both of them are fantastic vaccines, the Pfizer vaccine or the Astra Zeneca vaccine, they great."

Who will and won't have the jab

Carol Harris does not want the jab and doubts it will work if some people aren't getting it.

"No I think it's stupid. What's it going to achieve? Really, what? Because you can't do children, and if a child gets it it's just going to spread again, isn't it?" she said.

Marline Szepsy is confident in both the AstraZeneca and Pfizer vaccines.

"Well I'm certainly going to have it because of my age and vulnerability," she said.

"I don't mind which vaccine I have, because I think they've probably had enough trials to satisfy our needs."

Joy Barton said she would get vaccinated but was worried that the information about the different vaccines was confusing.

"I will definitely be having it. I'm not going to wait until this other one comes out later in the year [as] I have a leukemia and need to look after myself," she said.

"There's another one coming out that's not got so many side-effects — apparently — [but] I don't know what to believe.

"I'll just take what the doctor says."

Wendy Craig said the thought the vaccine was a good thing but was concerned about it being rushed out.

"When they were developing the flu vaccine it took them years, so I'm a bit concerned about what the fall-out is going to be," she said.

"As to whether I'm going to have it, I can't tell you yes or no. It's not something that I've decided upon, unless it's forced upon me."

Health Minister reassures vaccine isn't rushed

Health Minister Yvette D'Ath sought to reassure people the vaccine had not been rushed.

"We haven't had to fast-track this vaccination. It's gone through a proper process to the Therapeutic Goods Administration," she said.

"It's received its approvals and now we can start delivering it in a staged sensible way."

Dr Young said if governments got behind all vaccines in the way they have supported this one, all of them would be developed just as quickly.

"This time round, the whole world got behind all the scientists and funded it so that the scientists could actually keep going," she said.

"They didn't just have to stop and say, we now need some money."

Hotel quarantine staff, border workers and frontline health care staff at risk of COVID-19 exposure will be the first to receive the jab this month, while individuals with higher risks will be part of category 1b.

The COVID-19 vaccines will be voluntary and free.

Queensland again reported zero new cases overnight. The state has just five active cases of the virus.