In a large pot or Dutch oven, heat the olive oil over medium heat. Add the smoked sausage and cook until browned, about 5 minutes. Remove the sausage and set aside.
In the same pot, add the chicken and cook until browned on all sides, about 5-7 minutes.
Remove and set aside with the sausage.
Add the onion, bell pepper, celery, and garlic to the pot. Sauté for about 5 minutes until the vegetables are softened.
Stir in the diced tomatoes, chicken broth, Cajun seasoning, thyme, bay leaves, and okra. Bring to a simmer.
Return the sausage and chicken to the pot. Simmer for 30-40 minutes, allowing the flavors to meld. Season with salt and pepper to taste.
Remove the bay leaves before serving. Ladle the gumbo soup over cooked rice and garnish with chopped green onions and parsley, if desired. Enjoy!