The invention proposes a method of eliminating residue from a flow of harvest containing fruit (G), said method comprising: feeding with the flow of harvest an inclined surface (4) that is arranged to allow said flow of harvest to travel over it, said surface including air passages (13, 14); blowing air through said passages in order to eject residue from the flow of harvest as it is routed over said surface. The invention also concerns a residue elimination system for implementing such a method, a cleaning assembly comprising such an elimination system, and a fruit harvesting machine including such a cleaning assembly or such an elimination system.