Heat oven to 375 degrees F. Spray cookie sheets with nonstick cooking spray. Separate dough into 4 rectangles; place on lightly floured surface. Firmly press perforations to seal. Press or roll each to form 8x5-inch rectangle.
Arrange 1/4 of prosciutto slices evenly over each rectangle. In small bowl, combine cheese, pepper and oil; mix well. Sprinkle mixture evenly over prosciutto on each rectangle. Sprinkle with basil.
Starting at short side of each rectangle, roll up; seal long edges. With serrated knife, cut each roll into 5 slices. Place, cut side up, on sprayed cookie sheets.
Bake at 375 degrees F. for 15 to 20 minutes or until golden brown. Remove from cookie sheets. Serve warm.