The invention relates to a method of eliminating leaf stalks (P) from a harvested stream in a machine for harvesting fruit berries (G), said method successively comprising the steps of feeding the harvested stream to a sorting device through which a stream portion comprising leaf stalks (P) and fruit berries (G) can pass recovering the portion passing through on a conveyor: removing from the conveyor components of the passing through portion other than leaf stalks (P) eliminating leaf stalks (P) remaining on the conveyor. The invention also relates to a sorting device, an extraction conveyor, and an elimination system for implementing this method, and a fruit berry harvesting machine including this kind of elimination system.