Heat a skillet over medium heat and crumble the chorizo into it. Cook for about 5 minutes, stirring to break up the sausage into small pieces, until it is cooked through.
Drain off all but 2 tablespoons of fat and scrape the chorizo to one side of the skillet.
Beat the eggs and season with pepper.
Pour the eggs into the empty side of the skillet and let stand for about 30 seconds before carefully stirring. Continue to cook over medium heat until the eggs are almost set.
Combine the nearly cooked eggs with the chorizo and mix gently.
Warm the tortillas on the stove or in the microwave and fill with chorizo and egg mixture