Wash and pat dry the dill and cucumber. Finely chop the fresh dill and thinly slice the cucumber into even rounds using a knife or mandoline.
In a small mixing bowl, combine the softened cream cheese and dry ranch seasoning. Mix thoroughly with a spatula or hand mixer until smooth and well-blended.
Lay one tortilla flat on a clean surface. Spread ¼ of the cream cheese mixture evenly over the surface of the tortilla. Repeat with the remaining tortillas.
Sprinkle ½ teaspoon of chopped fresh dill evenly over the cream cheese layer to enhance the flavor.
Place a layer of thin cucumber slices across the tortilla, arranging them as close together as possible for even coverage.
Starting from one end, roll the tortilla tightly into a log. Keep the roll snug to prevent gaps. Repeat the process with the remaining tortillas.
Wrap each rolled tortilla tightly in plastic wrap. Place the rolls in the refrigerator and chill for at least 1 hour to allow them to firm up.
When ready to serve, remove the plastic wrap from the chilled rolls. Trim about 2 inches off each end (discard or snack on the ends) to create clean edges. Use a serrated knife to slice each roll into six equal pieces, about 1 inch thick.
Place the pinwheel slices flat on a serving platter, arranging them neatly. Garnish with extra dill if desired, and serve.