Chief of Army Lieutenant General Susan Coyle confirmed the vehicle involved was a "Supacat troop carrying vehicle" and said the pause was standard practice following a fatality.
"We've paused operational use of that vehicle until the investigation has commenced to understand what, if anything, may be impacted," she told media in Perth on Wednesday.
General Coyle noted there had been no previous incidents involving the Supacat, which is used in the first brigade and special forces units. She also stated Corporal Hannam was not driving the vehicle at the time of the rollover.
Family support is being provided by the unit, and General Coyle said she was organising to visit the family shortly.