This disclosure relates to a hydraulic support element for a switchable rocker arm of a valve train of an internal combustion engine. The hydraulic support element includes a cup-shaped cylinder, within which a hollow piston is arranged in an axially displaceable manner. The piston includes a filter cartridge which is in the form of a hollow body and can be charged from the outside with pressurized oil and an interior space of which is connected to an outlet opening of the contact head. An interior space of the piston has two pressurized oil chambers, including a first pressurized oil chamber above the piston head and connected to a first pressurized oil feed, and a second pressurized oil chamber formed under the contact head and connected to a second pressurized oil feed. The filter cartridge is tubular and located in the second pressurized oil chamber.