Dice the chicken breast into bite-sized pieces and slice the andouille sausage into thin rounds.
Heat the olive oil in a large skillet over medium-high heat.
Add the chicken and sausage to the skillet, browning them for 5 minutes until the meat is cooked through and the sausage is slightly crisp.
Remove the chicken and sausage from the pan and set aside.
Add the diced onion, bell pepper, and celery to the same skillet, sautéing for 6 minutes until the vegetables are tender.
Stir in the minced garlic and cook for 1 minute until fragrant.
Add the white rice, chicken broth, tomato puree, Cajun seasoning, sea salt, and black pepper to the skillet.
Bring to a boil, then reduce the heat to low, cover with a lid, and simmer for 15 to 18 minutes until the rice is tender.
Stir the cooked chicken and sausage back into the rice mixture and serve immediately.