Heat 2 tbsp oil in dutch oven. Add sausage and cook until browned. Remove sausage with a slotted spoon and set aside.
Add remaining oil to the grease in the dutch oven. Add onion, green pepper & celery & cook until soft, about 5 to 7 minutes, stirring occasionally.
Add garlic & cook 1 minute.
Add diced tomatoes, chicken broth, Worcestershire sauce, Cajun seasoning, Tabgasco sauce, pepper, & thyme.
Bring mixture to a simmer and stir in rice and reserved sausage. Cover and cook on low, stirring occasionally, for 20 to 25 minutes. Cook uncovered for the last 5 minutes to help it thicken up.
Stir in turkey & serve.