Mix dressing and flour in medium saucepan with whisk until well blended. Gradually stir in milk. Bring to boil on medium heat, stirring constantly; cook and stir until thickened.
Add 1 cup cheese; cook until melted, stirring constantly. Reserve 1 cup sauce.
Stir chicken, salsa and parsley into remaining sauce; spoon 1/3 cup down centre of each tortilla.
Roll up.
Place 8 roll-ups, seam-sides down, in each of 2 (13x9-inch) baking dishes sprayed with cooking spray; top with reserved sauce and remaining cheese.