The invention is an apparatus for converting sheets of paper into cushioning dunnage. The apparatus includes a supply assembly, a conversion mechanism, a cutting assembly and a cutting assembly interlock device. The supply assembly supports the paper which is to be converted. The conversion assembly crumples single ply paper into cushioning dunnage and the cutting assembly cuts the newly formed dunnage into desired lengths, where the dunnage is allowed to fall into a container to cushion an item within the container. The cutting assembly interlock device permits activation of the cutting assembly only when the cutting assembly has fully moved into the proper, cutting position.