From today the number of medical centres giving out the jab will double from 1500 to 3000.
Manufacturing of the vaccine at Melbourne-based CSL is also now ramping up in an effort to help guarantee the supply of the vaccine, an issue which has put Australia millions of doses behind schedule.
So far 840,000 doses have been administered, almost three million short of where Australia expected to be by the end of March.
Last week a war of words erupted between Canberra and the New South Wales and Queensland governments, with the states blaming the Federal Government for the slow rollout.
“The arithmetic is simple on this,” Mr Littleproud told Today.
“We are 3 million short at the moment. We were 3 million short by the EU.
Earlier this month Italy and the European Union blocked a shipment of the AstraZeneca coronavirus vaccine containing 250,000 doses, destined for Australia.
The block followed the EU tightening its rules on vaccine exports in an effort to secure its own supply.
NSW and Queensland health officials claimed the lack of a certainty on Federal Government supply had created major problems in their states with scheduling the first and second jabs.
Mr Littleproud said the states needed to trust that the supply of vaccines was secure.
“We need to make sure they are not in the locker, they are in people’s arms,” he said.
“We need the states to trust us the manufacturing now taking place in Melbourne will get around the country.
“We are making up for that 3 million we were undercut by the EU and we have to trust Australian manufacturing to do the job, and they will.”
Australia’s vaccine rollout will no longer be shrouded in secrecy, with the Federal Government set to reveal daily the number of doses handed to each state and exactly how many have been administered.
Last week saw federal and state health officials accuse each other of hoarding and failing to create steady and well-planned lines of supply.
Overseas, mass vaccination hubs have allowed countries like the US and the UK to very quickly vaccinate millions of people.
NSW is now heading down that road as well, pushing ahead with plans to set up mass vaccination sites at places like stadiums and convention centres.
It is expected to take another 12 weeks for everybody in group 1B to be vaccinated.