A dunnage production system for producing coiled strips of dunnage includes a supply of strip-like dunnage, a coiler adjacent the supply and rotatable about a coiling axis for coiling a strip of the strip-like dunnage into a coil having a coiled configuration, and a tube aligned with the coiling axis. The tube has an internal diameter sized to receive the coil from the coiler in a discharge direction parallel to the coiling axis. The tube is capable of holding at least one coil in its coiled configuration until it is removed from the tube.