In a small bowl, blend together the whipped cream cheese, sour cream or mayonnaise, finely chopped dill, and kosher salt until smooth and creamy. This should take about 2-3 minutes.

Spread an even layer of the creamy dill mixture over one side of each slice of soft sandwich bread.

Wash and pat dry the English cucumber, then slice it thinly using a sharp knife.

Place the cucumber slices evenly over half of the prepared bread slices, slightly overlapping them.

Carefully top the cucumber-covered bread slices with the remaining slices, spread side down.

Using a serrated knife, trim away the crusts for a polished finish, then cut each sandwich into small pieces.

Arrange the cut sandwiches on a serving plate and garnish with additional fresh dill or cucumber slices, if desired.