Spray counter lightly with cooking spray. Flatten each roll into a 5-6 inch circle. Cover with plastic while you prepare filling.
Combine chicken, Alfredo sauce, cheese, basil and mushrooms. Remove wrap and divide filling evenly between the 8 dough circles (about 1/3 cup on each circle). Wipe edge of circles with water to help seal. Pull edges up and pinch to seal. Place sealed side down on sprayed baking sheet.
Bake at 375°F 12-15 minutes until golden brown. Remove from oven and brush with melted butter. Serve with extra sauce for dipping, if desired.