Heat the olive oil in a large pot or Dutch oven over medium heat.
Add the sliced turkey sausage and cook until browned on both sides, then remove the sausage and set aside.
In the same pot, add the diced onion, bell pepper, and celery, sautéing until the vegetables are softened and translucent.
Stir in the minced garlic, creole seasoning, dried thyme, sea salt, and black pepper, cooking for one minute until fragrant.
Add the dry rice to the pot and toast for two minutes, stirring constantly to coat the grains in the spices.
Pour in the crushed tomatoes, chicken broth, and add the bay leaf, stirring well to combine.
Bring the mixture to a boil, then reduce the heat to low, cover with a tight-fitting lid, and simmer for 20 minutes.
Once the rice is tender, fold in the raw shrimp and the reserved cooked sausage.
Cover the pot and cook for an additional 5 minutes until the shrimp are pink and opaque.
Remove the bay leaf and fluff the jambalaya with a fork before serving.