Mr Barnett said he was an organ donor and would like to see more people opt-in for the provision.
"I would urge all West Australians to think about giving that approval as part of their driver's license renewal," he said.
"I've done it and I think many people, if they give it thought, will agree that in the tragedy of a loss of life, then there's a potential to save someone else's life."
The idea was first discussed in March by National Party MP Vince Catania, Liberal MP Joe Francis and Labor MP Martin Whitely, who wanted to introduce a private members bill to parliament.
But after consulting them, Dr Hames agreed to a government-supported investigation.
Mr Barnett said it was a "good thing" that Dr Hames was bringing the debate forward.
AAP