A single-use pumping casing (A) includes an inlet duct (6), a delivery duct (7) and a alternating-movement pumping member (1a), and a driving mechanism including a member (4) for driving the pumping member (1a) in at least one of the alternating movements thereof. The driving mechanism is housed in a holder housing (B) having a wall with a retaining slideway (19) for engaging sliding members of the pumping casing (A), the housing further including a passage opening (21) for the driving member (4), an abutment (20) for determining the position of the pumping casing (A) along the retaining slideway (19) and for placing the pumping member (1a) into a drive relation with the driving member (4), and a removable attachment (19, 20) for attaching the pumping casing (A) in the determined position along the retaining slideway (19).