Heat oil in Dutch oven over medium heat.
Brown sausage 3-4 minutes per side, then remove to plate.
Brown chicken in batches 5-6 minutes until colored on all sides, then remove to plate.
Add onion, bell pepper, and celery to pot and cook 6-8 minutes until softened.
Stir in garlic and all spices during last minute of cooking.
Add tomatoes, broth, chicken, and sausage back to pot.
Bring to boil, reduce heat to low, and simmer 30 minutes, stirring occasionally.
Remove bay leaf before serving.