Voting on the bill was delayed by the attorney-general to allow for negotiations with key crossbenchers - Transport Matters MP Rod Barton and Sustainable Australia's Clifford Hayes.
Victoria has completely thrown open its border to NSW, even to those not fully vaccinated against COVID-19.
Queensland's premier has released a plan for opening borders by Christmas, but it relies on vaccination rates.
The race to get vaccinated has cemented the state's early reopening from 11.59pm on Thursday, which will see the end of lockdown.
The state government is sticking by its plans for mandatory vaccination of agricultural workers and contractors by October 15.
Victorian shearers are threatening to take their handpieces and head across the border to escape vaccination mandates.
A highly infectious new COVID-19 strain could see Australia's booster shots sped up, but authorities say the spread of a mild strain would be their "number one Christmas present".
Drivers using a Freight Pass will need to have had one dose of a vaccine by October 15 and be fully vaccinated by November 15.