Methods and structures are provided for a dunnage system to facilitate efficient coupling together of supply units of pre-configured sheet stock material, such as, for example, separate units of fanfold stacks of pre-configured sheet stock material, in a manner of continuous supply with a continuous pocket extending longitudinally between the separate supply units, so that they can interact with an expander of the dunnage system without disruption as one supply unit is depleted and a next supply unit is fed through the dunnage system. Also, various methods, apparatus, and systems are provided to facilitate smooth operation of a dunnage machine of the dunnage system to reduce a tendency of the pre-configured sheet stock material to jam and to increase the tendency of dunnage product generated to reflect a desired shape and stability.