Preheat oven to 350 degrees.
Add 2 T of the butter to a large skillet over medium heat. Add onion and celery along with sausage. Cook until sausage has browned. Add broth and remaining 2 T butter. Bring to a boil.
In a medium mixing bowl combine stuffing and egg. Pour broth mixture over stuffing mixture and stir. Season with salt & pepper. Bake for 45 mins or until hot in the center.