In a large pot or Dutch oven, heat the olive oil over medium-high heat.
Add the sliced sausage and sauté until browned, about 5 minutes. Remove sausage and set aside.
In the same pot, add the diced onion, bell pepper, and celery. Sauté for 3-4 minutes until vegetables are softened.
Stir in the minced garlic and cook for an additional minute until fragrant.
Return the sausage to the pot. Add the rice, diced tomatoes (with juices), chicken broth, Cajun seasoning, thyme, bay leaf, and season with salt and pepper. Stir to combine.
Bring the mixture to a boil, then reduce the heat to low. Cover and simmer for about 20 minutes or until the rice is cooked through and the liquid is absorbed.
After 20 minutes, fold in the shrimp and cook for an additional 5 minutes until the shrimp are pink and opaque.
Remove from heat and discard the bay leaf. Allow the jambalaya to rest for 5 minutes before serving.
Garnish with freshly chopped parsley before serving.
Notes
Serve in bowls with a sprinkle of parsley and a slice of lemon for added flavor.