Heat the oil in a heavy pan over medium heat. Add the sausage pieces and cook until brown, about 5 minutes. Add the onions, green peppers, and celery. Cook for 3 minutes. Add the water, tomato sauce, salt and pepper. Heat to boiling. Stir in the rice. Reduce heat to simmer. Cook covered, until rice is tender, about 30 minutes. Remove from heat and keep covered until time to serve.
NOTE: I sliced my sausage into 1/4 inch slices and used 1 pound of sausage.