Premier Annastacia Palaszczuk said the cases were picked up after 8378 tests in the past 24 hours to 6.30am on Tuesday.

The two truck drivers initially tested positive in NSW, with authorities there alerting Queensland Health.

Later tests of the pair in Queensland returned negative results.

Ms Palaszczuk said both drivers stayed in their homes on the Sunshine Coast and in Somerset and visited few venues.

However, they stopped in St George and Balonne while on the job in southern Queensland.

"We will get the exposure sites up but we aren't overly concerned about these two," the premier told reporters on Tuesday.

Chief Health Officer Jeannette Young said the truckers' families are in home quarantine with more than 750 other people in the state.

She is reasonably confident the cases present a low-risk to the community.

"These two truck drivers did everything they should do but it is at a point that we could have a case turn up anywhere," Dr Young said.

"So please, to all Queenslanders, please get vaccinated."

Ms Palaszczuk pushed back at Prime Minister Scott Morrison's comments the country needs to reopen and people need to "get out of the cave" once vaccination rates hit 80 per cent.

The premier said, unlike other states, Queenslanders were not in a cave but living relatively freely.

"Have a look at Queensland at the moment: you can go to work and go to school, you can go watch sport, you can play community sport, you can go to a restaurant, you can go out, we haven't given up," she said.

Ms Palaszczuk called for the federal government to release state-specific modelling on reopening before national cabinet on Friday.

She said she wants to see what extra load would be placed on the state's public health system if the country incrementally opens up after 80 per cent of eligible people had the jab.

"Everyone's worried about the impact it has on hospitals, I mean we're seeing large numbers of people are presenting with serious illness, dying in hospitals, you know, hospitals are going to be stretched," the premier said.

"We've seen the examples around the world."

Health Minister Yvette D'Ath said while vaccinations were progressing steadily, registration numbers have been dropping every day.

She said it was important more people booked in so they could also get the jab.

"If you're not registered, you can't book in, so we need people to get registered," she said.

Police intercepted 1000 vehicles at the NSW border overnight and turned back 199, including 17 essential workers who were unvaccinated.

Commissioner Katarina Carroll said there will be a crackdown on pedestrians crossing the state border at Coolangatta.

Pedestrians have freely been walked across the border since the start of the pandemic, but Ms Carroll indicated that officers would no longer turn a blind eye to it.

"Action will be taken on those that are constantly hopping across the border, and I ask that the community as they are, to continually report on that as well," the commissioner said.

Queensland also recorded one overseas-acquired case of COVID-19 in hotel quarantine and three overseas-acquired cases on a ship marine vessel.

Australian Associated Press