Whisk dressing and flour in medium saucepan until blended. Gradually stir in milk. Bring to boil on medium heat, stirring constantly; cook and stir 2 to 3 min. or until thickened.
Add 1 cup cheese; cook 5 min. or until melted, stirring constantly. Reserve 1 cup sauce.
Stir chicken, salsa and parsley into remaining sauce; spoon 1/3 cup down center 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.