Cut the cucumber lengthwise and remove the soft inner part with seeds using a spoon or cut it out with a knife. Slice the remaining cucumber into thin strips.
Top the wraps with the thin cucumber strips.
Sprinkle some sesame seeds over this and top with a few lettuce leaves.
Roll the wraps up tightly and press firmly. Cut each wrap into 8 rolls or keep it whole.
Serve immediately (see storage tips in the FAQ). Enjoy your meal!