It comprises a plurality of single fruit (4) carrying units (3), each of said units (3) including a bucket (8) for receiving a piece of fruit (4) and support means (8a, 8b, 9) of said bucket (8), said support means (8a, 8b, 9) allowing the pivoting movement of said bucket (8), means (5) for dragging said carrying units (3), said dragging means (5) determining a bucket (8) conveying circuit, said circuit including an outbound portion for conveying the buckets (8) towards the harvest site where an operator is located, and an inbound portion (5b) for moving the buckets (8) towards a frame (6) of the machine (2), once the operator has placed the fruit (4). Figures 1 and 2.