Preheat your oven to 400°F (200°C). If you are using a pizza stone, place it in the oven while it preheats.
In a skillet over medium heat, add the crumbled breakfast sausage. Cook for about 5-7 minutes until browned and cooked through. Use a spatula to break it apart as it cooks. Once done, drain any excess fat and set aside.
In a mixing bowl, whisk together the eggs, milk, salt, pepper, and oregano (if using) until well combined.
If using a baking sheet, lightly grease it with cooking spray or olive oil. If using a pizza stone, remove it from the oven carefully.
Roll out the pizza dough on a lightly floured surface to fit your baking sheet or pizza stone. Transfer the dough to the prepared surface.
Spread the cooked sausage evenly over the dough. Pour the egg mixture on top, ensuring it's evenly distributed.
Sprinkle the shredded mozzarella cheese over the top, followed by the diced bell peppers and onions if desired.
Place the pizza in the preheated oven and bake for 15 minutes or until the eggs are set and the cheese is bubbly and golden.
Remove from the oven and let the pizza cool for a few minutes before slicing into pieces. Serve warm.