Corporal Brendan Hannam, a 28-year-old father of two, died when the all-terrain vehicle rolled over during the exercise. He was a passenger in the Supacat at the time of the incident. Five other army personnel were injured.
Defence Minister Richard Marles said on Wednesday that operational use of the vehicle had been placed on hold while an investigation into the death was carried out.
"We need to be making sure that every lesson that can be learned from this incident is learned," he told reporters in Perth. "We've paused operational use of that vehicle until the investigation has commenced to understand what, if anything, may be impacted."
The Supacat is an all-terrain vehicle used by special forces units and the army's first brigade. The pause remains in effect while the investigation into the circumstances of the rollover proceeds.