Heat the olive oil in a large pot or Dutch oven over medium heat. Add the diced onion, bell pepper, and celery—this is the classic Louisiana 'holy trinity' that forms the flavor base of jambalaya. Cook for about 8-10 minutes, stirring occasionally, until the vegetables begin to soften and turn translucent. Add the sliced andouille sausage and continue cooking for another 5 minutes, allowing the sausage to brown slightly and release its smoky flavors into the pot. Season with salt and black pepper as you go. I like to let the sausage get a bit of color on it because those browned bits add so much depth to the final dish.
Add the minced garlic to the pot and cook for about 1 minute, stirring constantly to prevent it from burning. Then immediately add the smoked paprika, cayenne pepper, and dried oregano. Stir well and cook for another minute to bloom the spices—this releases their essential oils and intensifies their flavors throughout the jambalaya. The combination of these spices is what gives jambalaya its distinctive, slightly smoky and spicy character.
Pour in the diced tomatoes (with their juices), the long-grain white rice, and the chicken stock. Stir everything together to combine and distribute the rice evenly. Bring the mixture to a boil over medium-high heat, then reduce the heat to low, cover the pot with a lid, and simmer for 20-25 minutes until the rice is tender and has absorbed most of the liquid. I find that keeping the lid on is crucial—it traps the steam and ensures the rice cooks through evenly without drying out.
Once the rice is tender and the liquid is absorbed, remove the pot from heat. Stir the jambalaya gently to fluff the rice, then taste and adjust seasoning if needed. Garnish generously with the chopped scallions, which add a fresh, bright note that balances the rich, smoky flavors. Serve immediately while hot.