A MRH-90 Taipan aircraft crashed during the multi-nation Exercise Talisman Sabre off the north Queensland coast last week, killing four Australian Defence Force members on board.
It was the second incident involving a Taipan helicopter this year, after a crash off the NSW coast in March during a training exercise.
The former coalition government announced in 2021 the fleet would be replaced by Black Hawks.
Defence Minister Richard Marles said the Taipans would remain grounded until the Queensland incident was investigated.
But he talked down a quicker replacement process.
"I wouldn't want to raise expectations around having the Black Hawks in service sooner," he told reporters in Canberra.
"It is both a question of having the airframes come to Australia, but also a question of making sure that all the appropriate training and credentialling is done for those who operate the Black Hawks so that that can be done in a safe way."
The Taipans are due to come out of service at the end of 2024.
Shadow defence minister Andrew Hastie, who flew in Black Hawks when he was with the Special Air Service Regiment, said the new aircraft "can't come soon enough".
"From a coalition perspective, we would support the expedition of that aircraft into service," he told the ABC.
He said the Taipan was "not an inherently unsafe aircraft".
"The problem really with this aircraft is it is so magnificently engineered that it is very hard to get the hours out of it that the army wanted."
A recovery operation continues for the bodies of Captain Danniel Lyon, Lieutenant Maxwell Nugent, Warrant Officer Class Two Joseph Laycock and Corporal Alexander Naggs.