A method for degassing flowable fluids, in particular liquids used for hydrogen storage, uses a device including a desorber (12) that can be filled with fluid to be degassed and through which the fluid can flow. A circulation pump (48) circulates the fluid during a degassing process in the desorber (12). A vacuum pump (38) generates a vacuum in the desorber (12) during a filling step with fluid and for discharging the gas from the desorber (12) during the degassing step. At least one sensor (44a, 44b) measures the pressure in the desorber (12) and/or a dwell time. A control unit ends the degassing process when a predefined pressure is measured by the sensor (44a, 44b) and/or when a predefined dwell time of the fluid in the desorber (12) is measured.