Heat the olive oil in a large pot or Dutch oven over medium heat.
Add the sliced chicken andouille sausage and sear for 3-4 minutes until browned.
Stir in the diced onion, green bell pepper, and celery, sautéing for 5 minutes until the vegetables are tender.
Add the minced garlic, Creole seasoning, dried thyme, sea salt, and black pepper, stirring for 1 minute until fragrant.
Pour in the crushed tomatoes, chicken bone broth, and long grain white rice, then tuck in the bay leaf.
Bring the mixture to a boil, then reduce the heat to low, cover with a tight-fitting lid, and simmer for 18-20 minutes.
Once the rice is tender and has absorbed the liquid, stir in the raw shrimp.
Cover and cook for an additional 3-5 minutes until the shrimp are pink and opaque.
Remove the bay leaf and fluff the jambalaya with a fork before serving.