In a small bowl mix butter, lemon juice and dill. Sprinkle generously with fresh black pepper. Remove crusts from thin-sliced bread. Spread one side of a slice of bread with lemon-butter mixture.
Place two fresh spinanch leaves in center of bread with leaf points extending out a little on each side of bread. Carefully roll bread slice to form a log. Hold it in place with a toothpick. Place on a baking pan.
Repeat with the other bread slices and gently push together in the pan so they will retain their shape. Cover tightly and refrigerate for a few hours until needed.