Method of loading a dunnage conversion machine and sheet stock material useful therein

A method of converting a two-ply sheet stock material into a relatively lower density dunnage product, comprising the following steps:

• operating a dunnage conversion machine to produce one or more dunnage products from a supply of sheet stock material having a first ply and a second ply until the supply of sheet stock material is almost spent, the supply being a preceding supply;
• displacing a trailing end of the second ply of the preceding supply of sheet stock material to expose a trailing end of the first ply of the preceding supply of sheet stock material;
• providing a succeeding supply of two-ply sheet stock material having a first ply and a second ply that overlaps the first ply, the first ply and the second ply generally being unconnected to each other, wherein leading ends of the first ply and the second ply of the succeeding supply of sheet stock material are connected together;
• attaching a leading end of the first ply of the succeeding supply of sheet stock material to the first ply of the preceding supply of sheet stock material;
• replacing the trailing end of the second ply of the preceding supply of sheet stock material over the leading end of the second ply of the succeeding supply of sheet stock material to secure the second ply of the succeeding supply of sheet stock material to the second ply of the preceding supply of sheet stock material;
• and
• operating the dunnage conversion machine once again to produce one or more dunnage products from the succeeding supply of sheet stock material.