Preheat your oven to 375°F (190°C) and line a baking sheet with parchment paper.
In a mixing bowl, whisk together the eggs, milk, salt, and pepper until well combined. Stir in the cheddar cheese and chopped chives.
Cook the breakfast sausages in a skillet over medium heat until browned and cooked through, about 8-10 minutes. Remove from the pan and let cool slightly.
Unroll the crescent roll dough on a clean surface and separate it into the individual triangles.
Place one sausage at the wide end of each triangle and roll it up, enclosing the sausage completely.
Arrange the rolled sausages on the lined baking sheet, ensuring they are spaced apart.
Drizzle the egg mixture over the top of the rolled sausages, allowing it to soak into the crescent dough.
Bake in the preheated oven for 12-15 minutes or until the dough is golden brown and cooked through.
Remove from the oven and let cool slightly before serving.
Notes
Feel free to substitute with your favorite type of sausage.