Cook sausage: Cook sausage about 8 minutes in a skillet over medium-high heat, stirring to crumble.
Assemble breakfast casserole: Toss together sausage, Parmesan cheese, and next 3 ingredients; arrange mixture in a 13- x 9-inch baking dish coated with cooking spray.
Make custard: Whisk together milk and next 2 ingredients; pour over the sausage mixture. Cover and chill dish for 8 hours.
Bake casserole: Preheat oven to 350°F. Uncover casserole, and sprinkle with Gruyère cheese. Bake 45 minutes or until golden. Let stand 10 minutes.
