OK, this is interesting! I Googled Jambalaya to see if it was supposed to be soupy, and this is a part of what I read on Wikipedia:

Jambalaya is differentiated from other traditional ethnic Louisiana dishes, such as gumbo and étouffée, by the way in which the rice is included. In the latter dishes, the rice is cooked separately and is served as a bed which the main dish is served on. In the usual method of preparing Jambalaya, a rich stock is created from vegetables, meat, and seafood. Raw rice is then added to the broth and the flavor is absorbed by the grains as the rice cooks.

I don't think there's enough liquid in this recipe to add raw rice, but maybe adding a little more liquid and then raw rice would work.