Cook the sausage in a skillet over medium heat for about 8-10 minutes until browned. Crumble the sausage into pieces and set aside.

Whisk together eggs, milk, salt, and pepper. Melt butter in the skillet, pour in egg mixture, and cook until fluffy, about 3-4 minutes. Set aside to cool.

Preheat oven to 375°F (190°C). Unroll and separate crescent roll dough. Place a spoonful of sausage and scrambled eggs at the wide end of each triangle and sprinkle cheese before rolling.

Bake the assembled roll-ups for 12-15 minutes until golden brown and flaky. Let cool slightly before serving.