In a large bowl, combine the cooked shredded chicken, creamy Caesar dressing, finely chopped red onion, grated Parmesan cheese, and crumbled bacon. Stir until all ingredients are evenly coated and combined.

Lay your flour tortillas flat on a clean surface. Scoop about 3/4 cup of the chicken mixture onto the center of each tortilla, spreading it evenly while leaving about an inch at the edges for easy rolling.

Sprinkle a handful of shredded romaine lettuce evenly on top of the chicken mixture on each tortilla.

Moisten your fingertips lightly with water to help seal the tortillas, then carefully roll each tortilla tightly, starting from one edge.

Using a serrated knife, gently slice each pinwheel into 1-inch pieces. Serve these tasty snacks immediately, with additional Caesar dressing on the side if desired.