"It is important here that we ensure together with (European Commission President) Ursula von der Leyen and (European Council President) Charles Michel that there is a correction mechanism," Kurz told a news conference with his counterparts from Bulgaria, Slovenia and the Czech Republic.
The announcement comes three days after Kurz said there had been a lack of transparency surrounding deals between some EU states and vaccine manufacturers.
EMA, the EU drugs regulator, said last week it would review the vaccine developed by AstraZeneca and Britain's Oxford University this month under an accelerated timeline.
We expect that work be done day and night, that a decision be reached unbureaucratically and that Europe not fall behind.