Saccadic eye movements induce rapid shifts of objects on the retina. This motion is routinely omitted from conscious perception and may thus present challenges for maintaining the perceptual continuity of objects across the movement. Here, we present initial results from an ongoing study in which we test how object movement at saccadic speeds (while the eyes fixate) affects object continuity in an object reviewing paradigm (Kahneman et al., 1992; Sasi et al., 2023). Trials started with a preview display, in which we presented single digits inside two Gabor patches. The patches then either moved continuously (slowly or at saccadic speed) or suddenly jumped to a new location, or they remained static throughout the trial. Finally, to probe object continuity, a target digit appeared in one of the two Gabors, which participants had to identify as quickly as possible. The target could either be one of the previewed digits (from the same or the different object), or a new digit altogether (no-match trials). We replicated the previously observed Object-Specific Preview Benefits (OSPBs)—shorter reaction times (RTs) when identifying a target previously seen in the same object compared to a new digit or a digit seen in the different object. These OSPBs were evident in the static condition compared to no-match trials, while not significant for any of the motion conditions. This preliminary result suggests that OSPBs are influenced by object movement, but further evidence is needed to understand whether they can keep up with the rapid speeds of saccadic motion.