Begin by heating oil in your large Dutch oven over medium heat until shimmering. Add sliced smoked sausage and cook until browned and crispy around the edges, about 5 minutes, releasing a wonderful smoky aroma.
Add the chicken chunks to the pot and cook until lightly browned and cooked through, about 7 minutes, stirring occasionally to ensure even cooking and a nice color.
Stir in the chopped onion, bell pepper, and celery. Cook until the vegetables soften and become fragrant, about 8 minutes, listening for a gentle sizzle and watching for the vegetables to turn translucent and slightly tender.
Add in the crushed tomatoes along with paprika, cayenne, thyme, and a pinch of salt and pepper. Stir well, then let everything simmer together for about 10 minutes, allowing the flavors to meld and the mixture to thicken slightly.
Pour in the rice and chicken broth, stirring to combine. Increase the heat to bring the mixture to a boil, then reduce to low, cover tightly, and let it simmer gently for 25 to 30 minutes, or until the rice is tender and has absorbed most of the liquid.
Check the rice for doneness— it should be tender, slightly smoky, and flavorful. If needed, season with more salt, pepper, or spices to taste, then remove from heat.
Let the jambalaya rest, uncovered, for about 10 minutes to allow the flavors to settle and the dish to firm up slightly. Fluff with a fork before serving to distribute the ingredients evenly.
Spoon the vibrant, smoky jambalaya into bowls and enjoy immediately, savoring the bold flavors and hearty texture in every bite.