Stock material units that may be used in a dunnage conversion machine. For example, stock material units include sheet material that may be fed into the dunnage conversion machine and may be converted thereby into dunnage. The stock material unit includes one or more material sheets that form a three-dimensional body and a strap assembly wrapped about the three-dimensional body. The strap assembly includes a base sheet that defines a first face of the strap assembly, a reinforcement member secured to the base sheet and extending along at least a portion of a length thereof, and an adhesive securing a first end of the strap assembly to an opposite, second end of the strap assembly to retain the dunnage in the stock material unit configuration.