Preheat your oven to 350°F (180°C). Line a medium-sized baking pan with parchment paper to prevent the burek from sticking.
Slice the smoked sausage into small rings or dice it. Tip: If you find it too fatty, lightly fry it in a pan to render some of the fat and intensify the flavor.
Grate the cheese using a small-holed grater. This helps it melt evenly and distribute well throughout the filling.
In a medium mixing bowl, combine the sour cream, egg, grated cheese, and chopped sausage. Season with salt and pepper. Tip: Sausage is often salty, so be cautious when adding salt!
Lay out one sheet of filo pastry, brush it thinly with oil, then layer two more sheets on top in the same way. The oil helps prevent the sheets from drying out and ensures they become crispy.
Along one edge of the sheet, lengthwise, place a portion of the filling. Roll it up tightly but carefully, making sure not to tear the pastry. Form it into a long cylinder.
Place the roll spirally or in a row in the baking pan. Repeat the process with the remaining filo pastry sheets and filling.
Brush the top with a little oil or sour cream; this will help it bake to a golden brown and crispy finish.
Bake the burek for 30 minutes, or until the top is nicely golden brown. Tip: If the top browns too quickly, cover it with parchment paper for the last 10 minutes.
Once removed from the oven, let it cool for 10 minutes, then slice and serve. It's best enjoyed warm, but it's also a great appetizer when cold.
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