Heat the olive oil in a large skillet and add the sausage (loukaniko) with the potatoes. Cook until the potatoes are soft and the sausage is golden brown on all sides. Stir in the salt, pepper and oregano.
In a small bowl whisk the eggs. Pour them evenly over the vegetables and the loukaniko in the skillet. Using a spatula, move the ingredients around so that the egg gets cooked. Reduce heat to medium low and cover the skillet. The steam will help cook the top part of the egg. Cook this way for approximately 3 minutes.