A cutting mechanism is provided for a dunnage conversion machine 10 that selectively cuts dunnage sheet stock drawable through the cutting mechanism. The cutting mechanism includes a frame and a pair of opposed cutting blades through which the sheet stock is drawable. The cutting blades include a driven blade and a biased blade, each supported relative to the frame for movement into and out of contact with one another. The driven blade is movable towards the biased blade to cut the sheet stock. The biased blade is biased against movement away from the driven blade to allow for self-adjustability to counter wear of one or both of the opposed blades. Contact of the opposed blades with one another causes the biased blade to be deflected away from the driven blade.