Place crescent roll dough in a single layer along the bottom and slightly up the sides of a 9x13- inch pan so sides of dough are touching. Sprinkle browned sausage, hash browns and cheese over top of crescent roll dough.
In small bowl, beat eggs and milk together until blended. Pour over contents in pan. Top with Parmesan cheese. Bake for 25 to 30 minutes or until eggs are set. Serve immediately.