A conveying device (4) for conveying rolled bar segments, continuously exiting from a cutting shear (3), comprising at least two conveying channels (10, 11) for conveying the bar segments; at least one separation wall (8) for separating a first conveying channel (10) from a second conveying channel (11); and at least one fixed partition (9), provided below said wall (8) and which separates said first channel (10) from said second channel (11); wherein said fixed partition (9) is configured so that, at speed, when a rolled bar is deviated to pass from a direction towards the first channel to a direction towards the second channel, the tail of a first bar segment (30) advances in the first channel (10) by passing below said fixed partition (9), while the head of a second bar segment (31 ) after the first segment (30) advances in the second channel by passing above said fixed partition.