Unroll crescent roll dough, and separate into 4 rectangles; press perforations to seal.
Stir together cream cheese and next 3 ingredients until blended; spread mixture evenly on rectangles. Roll up, jellyroll fashion, starting at long side, and press edges to seal.
Cut each roll into 8 slices, and place on ungreased baking sheets. Sprinkle swirls evenly with Parmesan cheese.
Bake at 375 for 12-15 minutes or until lightly browned. Serve warm.