Heat oil in a large saucepan or Dutch oven over medium heat. Add sausage, onions, green pepper, celery and garlic and cook 8 to 10 minutes or until vegetables are tender. Add chicken broth, tomatoes, ham, bay leaf, TABASCO® Sauce, thyme and allspice; simmer uncovered for 15 minutes.
Stir in rice; cover and simmer 15 minutes or until rice is tender, adding more broth or water if needed. Remove bay leaf before serving.
Makes 6 servings.