A conveyor system for unloading crop material from an agricultural harvester includes an adjustable-length discharge tube. The discharge tube includes at least a first tube section and a second tube section, the first tube section movably attached to the second tube section in an adjustable arrangement. The first tube section and the second tube section are each hollow and collectively define a passage for conveying crop material through the discharge tube. One of the first tube section and the second tube section is movable relative to the other of the first tube section and the second tube section to adjust the length of the discharge tube. One of the tube sections can be telescopically received in another of the tube sections. In addition, or in the alternative, one of the tube sections can be pivotally attached to another of the tube sections.