Slice the sausage, dice the chicken, chop the onion and bell pepper, and mince the garlic.
In your rice cooker, select the sauté function. Add the sliced sausage and diced chicken, cooking until browned.
Stir in the chopped onion, bell pepper, and garlic, and sauté until softened.
Add the rice, diced tomatoes (with juice), chicken broth, Cajun seasoning, thyme, salt, and pepper. Stir to combine.
Close the rice cooker lid and set it to the regular cooking cycle. If using shrimp, add them during the last 10 minutes of cooking.
Once the cooking cycle is complete, fluff the jambalaya with a fork, garnish with chopped green onions, and serve warm.