Preheat oven to 375°F (190°C).
In a mixing bowl, combine diced cooked chicken breast, cooked crumbled bacon, shredded mozzarella and cheddar cheeses, creamy Alfredo sauce, diced green onions, salt, and black pepper. Mix until well blended.
Roll out the pizza dough into a rectangular shape on a lightly floured surface.
Spread the chicken and cheese filling evenly over the dough, leaving a small border around edges.
Carefully roll the dough up tightly from one long edge to the other to form a log.
Place the rolled dough seam-side down on a baking sheet lined with parchment paper.
Bake for 25-30 minutes or until the dough is golden-brown and cooked through, and the filling is bubbly and slightly crispy on top.
Remove from oven and let cool for 5 minutes.
Slice into uniform rectangular pieces and arrange neatly on a white rectangular plate before serving.