To assemble, warm the 4 12-inch flour tortillas in the microwave for 45 seconds, wrapped in a damp paper towel. This makes them pliable and easy to roll. Lay each tortilla flat.
Layer each tortilla with a portion of the fried potatoes, the egg and sausage mixture, and 2 slices of jack cheese. If you like, add some salsa inside, or keep it on the side for dipping. Fold the sides of the tortilla over the filling, then roll it up tightly from the bottom to form a burrito.
Place the assembled burritos seam-side down in a fry pan over medium heat. Cook for a few minutes on each side until the tortilla is lightly golden and the cheese inside is melted and gooey, sealing the burrito shut.