Lightly brush top of dough with additional 1-tablespoon oil. Cover bowl tightly with plastic wrap. Let stand in a warm place until doubled in volume, about 1 hour.
Brush two 9 or 10-inch round cake pans lightly with melted butter. Punch down dough and cut into 24 pieces. With floured hands, form each piece of dough into a ball. Arrange 12 balls of dough, smooth side up, in each pan. Cover loosely with plastic wrap and let stand in a warm place until almost doubled in volume, about 35 minutes.
Meanwhile, position a rack in the center of oven and preheat to 400 degrees F. Brush tops of rolls with remaining melted butter. Bake until golden brown, about 20 minutes.
Let rolls stand in pan for 5 minutes. Remove rolls from pan and break apart. Serve rolls hot or warm.
Adapted from Back to the Table by Art Smith