Singapore Airlines offshoot SilkAir flies the MAX 8 five times weekly into Darwin and Cairns, and Fiji Airways uses it on services from Nadi to Adelaide, Sydney, Brisbane and Melbourne.
Both said they would continue to operate the aircraft on those routes but were following the investigations into the crashes closely.
“Safety remains our highest priority, and we are monitoring the situation closely,” a spokesman for SilkAir said.
“There is no change to this aircraft’s operation at this point in time.”
Fiji Airways said in a statement that it had “full confidence in the airworthiness of our fleet”.
“Our Boeing 737 pilots and cabin crew receive extensive ground and simulator training, over and above the mandatory training set for the MAX 8 by the manufacturer,” the airline said.
“The safety of our passengers and crew is, and always will be, our number one priority.”
Virgin Australia has an order in for 30 737 MAX 8s and 10 Boeing 737 MAX 10s, with the first due to be delivered at the end of the year. The airline said it was too early to comment on whether that order would change.