Abstract: The invention relates to a hot air heat-sealing machine for heat-sealing at least two pieces of heat-sealable material, and comprising:a heat source designed to deliver hot air along a projection axis at a predetermined point relative to pieces to be heat-sealed;presser means for pressing the two pieces to be heat-sealed against each other,the heat source being placed upstream from the presser means; anddrive means and guide means for driving and guiding the pieces along a guide axis in a guide direction going towards the heat source, the pieces being guided so that they face each other and are spaced apart from each other, such that when they pass the heat source it lies between the two facing pieces to be heat-sealed.