Cook sausage in hot oil in a Dutch oven over medium-high heat, stirring constantly, 5 minutes or until browned. Remove sausage with a slotted spoon.
Add diced onion and next 7 ingredients to hot drippings; sauté 5 minutes or until vegetables are tender. Stir in tomatoes, next 3 ingredients, and sausage. Bring to a boil over high heat. Cover, reduce heat to medium, and simmer, stirring occasionally, 20 minutes or until rice is tender.
Stir in shrimp; cover and cook 5 minutes or just until shrimp turn pink. Stir in parsley. Serve immediately.
To Freeze: Prepare recipe as directed. Line bottom and sides of a 13- x 9-inch baking dish with heavy-duty aluminum foil, allowing 2 to 3 inches to extend over sides; fill with jambalaya. Cover and freeze. To serve, remove foil, return casserole to original baking dish; cover and thaw in refrigerator 24 hours. Let stand at room temperature 30 minutes. Bake at 350° until thoroughly heated.