In a mixing bowl, whisk the eggs, salt, pepper, and milk until smooth and well combined.

Heat a non-stick skillet over medium heat and melt the butter. Pour in the egg mixture and gently scramble until just set, about 3-4 minutes.

In a separate skillet, cook the breakfast sausage links over medium heat until browned and cooked through, about 5-7 minutes.

Spray a clean skillet with cooking spray and heat over medium heat.

On an 8-inch tortilla, place a generous spoonful of scrambled eggs in the center.

Lay one cooked sausage link on the eggs, positioning it lengthwise.

Evenly sprinkle a handful of shredded cheddar cheese over the sausage and eggs.

Carefully roll the tortilla tightly, folding in the sides to enclose the filling.

Place the roll-up seam-side down in the skillet and cook for 2-3 minutes until golden brown, then flip and cook the other side for another 2-3 minutes.

Allow the roll-up to cool slightly before serving and repeat with remaining ingredients.