Preheat oven to 375°.

In skillet, cook sausage and onions over medium heat until no longer pink.

Drain.

Stir in soup.

In a mixing bowl, beat eggs, milk and pepper.

Stir into sausage mixture.

Transfer to a lightly greased 9x13 baking dish.

Sprinkle with cheese.

Bake uncovered @ 375° for 40-45 minutes or until a knife inserted near center comes out clean.