A common hypothesis is that the switch cost measured when switching between prosaccades and antisaccades mainly reflects the inhibition of the saccadic system after the execution of an antisaccade, which requires the inhibition of a gaze response. The present study further tested this hypothesis by comparing switch performance between peripherally triggered saccades and centrally triggered saccades with the latter type of saccades not requiring inhibition of a gaze response. For peripherally triggered saccades, a switch cost was present for prosaccades but not for antisaccades. For centrally triggered saccades, a switch cost was present both for prosaccades and for antisaccades. The difference between both saccade tasks further supports the hypothesis that the switch performance observed for peripherally triggered saccades is related to the inhibition of a gaze response that is required when executing a peripherally triggered antisaccade and the persisting inhibition in the saccadic system this entails. Furthermore, the switch costs observed for centrally triggered saccades indicate that more general processes besides the persisting inhibition in the saccadic system, such as reconfiguration and interference control, also contribute to the switch performance in saccades.