Apparatus for making bags from a folded web of thermoplastic material includes a rotating drum to which the web is continuously applied. As the drum rotates through a given arc length, the web is tucked outwardly from the periphery of the drum in progressively deeper folds wherein the depth of tuck determines the width of the bag. A cam, controlling the depth of tuck is movable in a rectilinear radial direction for adjusting the depth of tuck, thereby controlling the bag width.