In a large skillet, heat oil over medium-high heat. Add beef and cook until browned, about 5 minutes.
Add scallions and cook for an additional 2 minutes.
In a small bowl, whisk together soy sauce, oyster sauce, and sesame oil. Pour over beef mixture.
In a separate skillet, scramble the eggs.
Warm the tortillas in a dry skillet or microwave.
Divide the beef mixture and scrambled eggs evenly among the tortillas.
Roll up the tortillas and serve immediately.