Heat oil in a cast-iron skillet over high heat. Add eggs and milk; scramble in skillet. Cook until barely set, then stir in salt, pepper, chives, jalapeño, tomato, and salmon.
Spread 2 tbsp. cream cheese onto center of each tortilla. Spoon warm egg mixture over cheese, dividing evenly. Roll up burritos, tucking in ends. Serve with salsa if you like.
Note: Nutritional analysis is per serving.