An apparatus for conveying preforms to a blow molding machine, including a sorter that sorts and uniformly orients the preforms. A gravity conveyor feeds the preforms from the sorter to the blow molding machine. A transfer device between the sorter and the conveyor transfers the preforms from the sorter to the conveyor. The sorter, the conveyor, and the transfer device all have stepless adjoined guiding surfaces with specific contours that guide the preforms through the apparatus. The transfer device is an element with a curved guiding surface adjusted to the contour of the guiding surface of the sorter at the end facing the sorter, while being adjusted to the contour of the guiding surface of the gravity conveyor at the end facing the gravity conveyor. The two contours of the guiding surfaces facing the ends of the two devices are different, the guiding surface is stepless between the two ends.