A sheet material conveying apparatus includes a plurality of sheet material feeders. A plurality of pockets are movable past each of the sheet material feeders in turn to sequentially feed sheet material into the pockets. Each pocket has an upper end portion through which sheet material enters the pocket, a lower end portion through which sheet material leaves the pocket, and a support which supports sheet material in the pocket. The support is movable between a plurality of closed positions in which the support is spaced different distances from the upper end portion of the pocket and at least partially blocks the lower end portion of the pocket. The support is movable from each of the closed positions to an open position in which sheet material is movable out of the pocket through the lower end portion of the pocket. The pocket includes a rack and a pinion which are relatively movable to move the support between each of the closed positions and the open position.