In a large skillet over medium heat, add the breakfast sausage. Break it into smaller pieces with a spatula and cook until brown and crispy—about 5-6 minutes. Drain excess fat if necessary.

While the sausage is cooking, whisk together the eggs, milk (if using), salt, and pepper in a bowl. Set it aside.

Push the cooked sausage to one side of the skillet. Pour the egg mixture into the empty side of the skillet. Let it sit for a few moments before stirring to create fluffy curds, then gently mix them together with the sausage. Add the cheese towards the end, allowing it to melt.

Warm your tortillas in another skillet or microwave them for about 20 seconds. Spoon a generous amount of the sausage and egg mixture onto each tortilla and roll them up tightly.

Serve the roll-ups as-is, or with salsa, hot sauce, or sour cream.