PREHEAT oven to 375°F. Mix dressing and flour in medium saucepan with wire whisk until well blended. Gradually add milk, stirring until well blended. Cook and stir on medium heat until sauce comes to a boil and thickens. Stir in half of the cheese. Reserve 1 cup of the prepared sauce.
ADD chicken, salsa and parsley to remaining sauce; stir until well blended. Spoon 1/3 cup of the sauce mixture down center of each tortilla; roll up. Place 8 of the roll-ups, seam sides down, in each of two (11x8-inch) baking dishes; top evenly with reserved sauce and remaining cheese.