Preparation Heat oil in heavy large skillet over medium heat. Add sausage; sauté until cooked through and brown, breaking into pieces with spoon, about 8 minutes. Using slotted spoon, transfer sausage to large bowl. Add celery and next 6 ingredients to drippings in skillet. Sauté over medium heat until vegetables are soft, about 5 minutes. Discard bay leaf. Add mixture to sausage. (Can be made 1 day ahead. Cover; chill. Reheat to lukewarm before continuing.) Preheat oven to 350°F. Butter 13x9x2-inch glass baking dish. Add bread to sausage mixture. Whisk milk, broth, and butter in bowl to blend. Mix into stuffing; season stuffing with salt and pepper. Mix in eggs; transfer to prepared dish. Bake uncovered until cooked through and brown, about 50 minutes.
Preparation Heat oil in heavy large skillet over medium heat. Add sausage; sauté until cooked through and brown, breaking into pieces with spoon, about 8 minutes. Using slotted spoon, transfer sausage to large bowl. Add celery and next 6 ingredients to drippings in skillet. Sauté over medium heat until vegetables are soft, about 5 minutes. Discard bay leaf. Add mixture to sausage. (Can be made 1 day ahead. Cover; chill. Reheat to lukewarm before continuing.) Preheat oven to 350°F. Butter 13x9x2-inch glass baking dish. Add bread to sausage mixture. Whisk milk, broth, and butter in bowl to blend. Mix into stuffing; season stuffing with salt and pepper. Mix in eggs; transfer to prepared dish. Bake uncovered until cooked through and brown, about 50 minutes.