A rocker arm for a tappet pushrod valve train, which has a contact surface for a gas exchange valve on an underside at one end and a first bore in which a hydraulic lash adjusting element is arranged at another end. A second bore extends transverse through the rocker arm, between the ends. From the second bore, a passage leads to the first bore. A venting passage extends from a bottom of the bore at the another end and has an outlet aligned with the primary passage. A secondary passage branches from the venting passage and has an opening that extends to an upper side of the rocker arm and is situated in a longitudinal channel. The channel extends along the upper side and into a region on the one end. From the region, the hydraulic medium can be routed through an end passage to the contact surface.