as the G56 is aluminum cased, it's not as much of an issue IMO. That being said, I had Olee put some fast coolers on mine anyway while he was doing some other work on my truck. I figure the exra oil capacity has to hopefully help it have a good long life, and we also put Amsoil in it. So yes you can. Would have been interesting if I could have had a before and after temp. Good Luck. Oh, my truck is 06 3500 too.