Does anybody know how long to cook sausage and egg cerole in a crock pot on high?

I have no problem finding this recipe for overnight cooking 8-10 hours. But we are having a breakfast themed potluck for lunch at work and I don't want to overcook the dish by cooking it overnight and then still heating it for several hours at work. It's mainly a low carb recipe (eggs/cheese/sausage/onions), so would 3-4 hours on high be enough time to cook it through thoroughly??