A shrink packaging machine for shrink wrapping an article with shrink film includes: a hot air chamber; a conveyor operable to transport the article covered by shrink film at least partially through the hot air chamber; a first roller disposed over the conveyor and configured to engage the article transported on the conveyor; and a plurality of additional rollers disposed over the conveyor. Each of the plurality of additional rollers is vertically displaceable relative to the conveyor independent of displacement of the other of the plurality of additional rollers. Furthermore, when each of the plurality of additional rollers is in a respective lowermost position relative to the conveyor, an axis of rotation of the first roller is disposed at a height from the conveyor that is greater than a respective height from the conveyor at which each axis of rotation of each of the plurality of additional rollers is disposed.