A cushioning dunnage producing machine comprises a crumpler, a roll of paper sheet material having a first end at a radially innermost location and a second end at a radially outermost location, the first end fed into the crumpler, the crumpler drawing the paper sheet from the roll and crumpling the paper sheet into cushioning dunnage, and a cutter which travels laterally across the cushioning dunnage to cut the dunnage into a strip of a desired length.