Prepare the dough. Sift flour into a deep bowl, add yeast, sugar and salt. Pour in vegetable oil and break an egg. Mix everything. Separately heat milk to 25-30 degrees and pour into the bowl. Knead soft dough. Cover the bowl with a clean towel and put in a warm place for the dough to rise.
Form the buns. Roll out the dough and cut out circles with a glass. Cut the sausage into rings 2-3 mm thick. Place a ring of sausage on each circle of dough and cover with a second circle of dough. Use a knife to make cuts in a circle, 6 or 8 pieces. The middle of the circle should remain intact. Turn the adjacent petals in different directions.
Bake the sausage in dough. Preheat the oven to 180 degrees. Cover the baking sheet with parchment, grease with vegetable oil. Place the buns on the baking sheet and bake for 15 minutes.