Place the whole eggs, egg whites, rolled oats, sea salt, and black pepper into a high-speed blender.
Blend on high for 30 seconds until the oats are completely pulverized and the batter is smooth.
Pour the batter into a small bowl and stir in the chia seeds by hand.
Heat the olive oil in a 10-inch non-stick skillet over medium heat, ensuring the oil coats the entire surface.
Pour the egg and oat mixture into the skillet and immediately tilt the pan to spread the batter into a thin, even circle.
Cook for 3 to 4 minutes until the edges are set and the bottom is golden brown.
Carefully flip the wrap with a wide spatula and cook the second side for another 60 seconds.
Slide the wrap onto a plate and spread the cottage cheese evenly across the surface.
Top with sliced avocado, roll the wrap tightly, and serve immediately.