In a medium bowl, combine the chicken, 3/4 cup of the cheese, dressing, sour cream and green chiles and stir until well blended. Divide the mixture evenly between the tortillas, and roll the tortillas.
Place the tortillas, seam side down in an oiled 9-inch baking dish. Spoon the enchilada sauce around the tortillas and top with the remaining cheese.
Bake for 20 minutes or until the cheese is melted and is bubbly.