A filter element for filtering a fluid is provided with a first end disc and a second end disc. An annularly arranged filter medium is held between the first and second end discs. The filter medium can be flowed through by a fluid to be filtered in a radial direction relative to a longitudinal axis of the filter element from an exterior of the filter element to an interior of the filter element. A fluid outlet socket is connected to the filter medium and extends away from the filter medium in an axial direction past the first end disc. The fluid outlet socket is provided with a wall and at least one vent hole extending through the wall in the radial direction. A fluid filter is provided with a filter housing and with the afore described filter element that is arranged in the filter housing.