Cut the cucumber into about 6 strips. Cut salmon into 6 thin strips. Place a nori leaf on a bamboo mat, put a thin layer of rice on the front part, up to almost half of the leaf and press down lightly.
Dip hands in water in between. If necessary, brush rice with a very thin layer of wasabi. Now place 2 slices of cucumber and 2 slices of salmon on top. Roll everything up using the bamboo mat and press into shape. Cut off the rest of the nori leaf.
Form 2 more rolls in this way. Cut the sushi rolls into about 8 pieces each. Add wasabi and soy sauce.