An arrangement for producing a sample of body fluid from a wound opening created in a skin surface at a sampling site includes: a housing, the housing comprising a first opening; a skin interface member disposed in the first opening, the skin interface member comprising an inner member having a second opening, and an outer member at least partially surrounding the inner member and attached to the first opening; and at least one skin-penetration member configured and arranged to project within the second opening. Arrangements having alternatively constructed skin interface members are also described.