Place the flour, egg, and bread crumbs in three separate small bowls.
Preheat the air fryer to 350ºF (180ºC).
Peel the eggs. Using wet hands, divvy the sausage meat into 3 equal portions. Flatten each into a thin layer, then lay the egg in the center and wrap the sausage meat around. Roll each round in the flour, then dip in the beaten egg, shaking off any excess as you go, then into the bread crumbs. Make sure each round is fully covered in the bread crumbs.
Add the scotch eggs to the preheated air fryer in a single layer and air fry until the sausage is cooked through, 15 to 18 minutes (no need to turn during cooking).