A dunnage conversion system includes a machine for converting a stock material (14) into a strip of relatively lower-density dunnage, a coiling mechanism (20) for winding the strip into a coil, a taping mechanism (22) for automatically securing a trailing end of the strip to the coil, and a coil ejecting mechanism (24) for automatically removing the coil from the coiling mechanism. The taping mechanism includes a guide surface (70) between an outlet of the machine and the coiling mechanism to guide the strip to the coiling mechanism and to guide tape for engagement with a trailing end of the strip and to secure the trailing end of the strip to the coil. The coil ejecting mechanism includes a lever arm (126) that pivots to push the completed coil off the coiling mechanism.