A harvesting machine includes a harvesting header with an adapter, a header frame, a cutterbar assembly attached to the header frame along the length thereof and configured to cut a crop, and a draper assembly positioned behind the cutterbar assembly. The draper assembly includes a fore-and-aft draper that delivers crop material to a feeder house of the harvesting machine. The fore-and-aft draper includes a draper frame swingably supported on the header frame at a pivot to project forwardly therefrom and a draper belt supported on the draper frame to present a rearwardly moving run for conveying the crop rearwardly.