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In a medium mixing bowl, beat eggs with a fork just until blended, set aside.
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Heat a 10 inch skillet over medium-high heat. Crumble the sausage and cook, while breaking up sausage and tossing, until browned and cooked through, about 5-6 minutes.
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Transfer sausage to sheet of foil lined with paper towels, wrap to keep warm.
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Pour 1 tbsp oil into skillet with sausage drippings, heat over medium-high. Add potatoes, season with salt and pepper to taste. Cook, tossing occasionally, until lightly browned and cooked through 7-8 minutes.
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Transfer potatoes to sheet of foil lined with paper towels, wrap to keep warm.
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Heat skillet over medium-low heat, add ½ tbsp of oil if needed. Add eggs and cook, scrapping bottom of pan constantly with rubber spatula, just until set. Season with salt and pepper. Remove with heat, cover and keep warm.
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Heat tortillas on griddle or microwave until heated through.
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To assemble, layer ¼ of the eggs in the center of the tortilla. Top with ¼ of the potatoes. Divide cheese among each then sprinkle with sausage. Spoon a few spoonfuls of salsa.
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Wrap 2 sides of tortilla inward then roll bottom side over, the roll up and wrap snuggly. Serve with hot sauce if desired.