Jamba has an option to have your slaves opt out of random loot (apparently it's a setting in WoW itself). When enabled, your slaves don't even have loot rights to a corpse unless it has a quest item. They also are not prompted to roll on any drops.

I found this setting very useful while running my tri-box ele shamans through heroics. There was never anything to loot that I, the tank, or the healer couldn't loot ourselves. Additionally, most tanks and healers loved running with me once they realized I was only rolling once for DE and the like.