Rocker arm arrangement of an internal combustion engine has a bearing journal with a central axis and an outside circumferential surface running in the central bore of a rocker arm lined with a bearing shell. The bearing journal has a first transverse oil channel leading to at least one outlet at the running surface underneath the central axis. The bearing shell has an outer shell surface and an inner shell surface. The inner shell surface has a circumferentially extending internal groove, both ends of which terminate underneath the central axis, this groove extending to the outlet of the first oil channel when the rocker arm is in its base position. The outer shell surface has at least one circumferentially extending external groove, which extends as far as an inlet of a second oil channel passing through the rocker arm. At least one through-opening connects the internal groove and the external groove.