Blend the 4 eggs, cream cheese, and salt until smooth and frothy.

Melt butter in a 10-inch nonstick skillet over medium heat. Pour half the batter in a thin layer, cook 1 to 2 minutes until set, flip, and cook 30 seconds. Repeat to make 2 wraps.

Wipe the skillet, add more butter, then scramble the 2 eggs with sausage, salt, and pepper. Add cheese when eggs are half set and cook 2 minutes total until soft.

Lay the wraps flat, fill with scrambled eggs and avocado, keeping space at the edges.

Fold the burritos tightly, place seam-side down in the skillet, and cook 1 minute per side until golden. Serve hot.