Heat the olive oil in a medium pot over medium heat.
Add the sliced turkey sausage, diced onion, bell pepper, and celery, sautéing for 5 minutes until the vegetables begin to soften.
Stir in the minced garlic, smoked paprika, thyme, cayenne, salt, and black pepper, cooking for 1 minute until fragrant.
Add the dry brown rice, chicken broth, and tomato puree, stirring well to combine.
Bring the mixture to a boil, then reduce heat to low, cover, and simmer for 35 to 40 minutes until the rice is tender and liquid is absorbed.
Place the raw shrimp on top of the rice mixture, cover again, and cook for 3 to 5 minutes until the shrimp are pink and opaque.
Fluff the jambalaya with a fork, incorporating the shrimp and sausage throughout before serving.