A press-on device for a labeling machine that presses an adhesive label onto a product package. The press-on device may comprise a slide element as a support for a product package, a conveying unit for conveying a product package along a conveying direction, and a folding element for folding an adhesive label applied to an upper surface of the product package and projecting beyond the package. The press-on device additionally comprises a motor and a press-on unit driven by the motor and moved in a linear movement during operation of the press-on device, the press-on unit being configured to press an end of the adhesive label onto a lower surface of the product package during the linear movement of the press-on unit.