A rolled sheet-material supply handling-system that comprises a drawing device that can be configured to draw sheet material from a supply station and a stabilizer at the supply station. The stabilizer can define a generally tubular roll-receiving space in which a roll of the sheet material can be received and can have a support surface that can define an axial opening leading from the roll-receiving space to receive the sheet material drawn therefrom by the drawing device. The support surface can be sufficiently extensive to stabilize the outer layer of a roll against collapsing when the remainder of the roll has been extracted from the axial opening.