Intentional binding refers to the subjective temporal compression between a voluntary action and its sensory outcome. Though widely used as an implicit measure for the sense of agency, recent studies challenged the link between temporal compression and intention. The debate remains unsettled though, as intention has not been tested against all potential alternatives. Here, we fill this gap by jointly comparing participants' estimates of the interval between three types of triggering events with comparable predictability -voluntary movement, passive movement, external sensory event- and an external sensory outcome (auditory or visual across experiments). Results failed to show intentional binding, i.e., no shorter interval estimation for the voluntary than the passive movement conditions. Instead, we observed substantial temporal (but not intentional) binding when comparing both movement conditions to the external sensory condition. Thus, temporal binding seems to originate from sensory integration and temporal prediction, not from action intention.