Cook the Breakfast Sausage:

• Heat a skillet over medium heat. Add the sausage and cook until browned and crumbled, about 8-10 minutes.
• Transfer the cooked sausage to a plate lined with paper towels to drain excess grease.

Make the Sausage Gravy:

• Leave about 2 tablespoons of sausage drippings in the skillet. Add ¼ cup of flour and stir constantly for 1-2 minutes to create a roux.
• Gradually whisk in 2 cups of whole milk, stirring until smooth. Cook over medium heat until the gravy thickens, about 5 minutes. Season with salt and pepper to taste. Remove from heat.

Prepare the Dough:

• Preheat the oven to 425°F (220°C), or follow the instructions on your pizza dough package.
• Roll out the dough on a lightly floured surface to your desired thickness. Transfer it to a greased pizza pan or baking sheet.

Assemble the Pizza:

• Brush the pizza dough lightly with olive oil. Spread a generous layer of sausage gravy over the dough, leaving a small border around the edges.
• Evenly distribute the cooked sausage over the gravy. Top with shredded cheddar and mozzarella cheese.

Add the Eggs:

• Create small wells in the cheese using the back of a spoon. Carefully pour the lightly beaten eggs into the wells. Season the eggs with salt and pepper.

Bake the Pizza:

• Place the assembled pizza in the oven and bake for 12-15 minutes, or until the crust is golden brown, the cheese is bubbly, and the eggs are set to your liking.

Garnish and Serve:

• Remove the pizza from the oven and let it cool for a few minutes. Garnish with chopped fresh chives or green onions. Slice into wedges and serve hot.