A machine for the manufacture of inflated plastic dunnage and other fluid filled units is disclosed. In a disclosed and pictured dunnage embodiment, the machine includes a hollow shaft rotatably mounted on a frame. In the preferred embodiment the shaft is solid. With either embodiment a drive is operably connected to the shaft for causing the shaft to rotate about its axis and a drum mounted on the shaft to rotate with the shaft. The drum is in the form of a pair of closely spaced discs having perimetral, cylindrically contoured sealing surfaces for support and, in cooperation with driven metal belts, transport of a web being formed into dunnage units. Sets of heating and cooling shoes having spaced arcuate surfaces are complementally positioned adjacent the drum surfaces with the cooling shoes downstream from the heating shoes in the direction of dunnage formation rotation. A nozzle is mounted generally tangentially of the drum at a location midway between the discs. Each of the cooling shoes includes an air expansion chamber communicating through a shoe inlet when in use with a supply of air under pressure. In the hollow shaft embodiment one cooling shoe chamber has an outlet in communication with the nozzle via the shaft.