The study of embodied cognition examines how body posture influences cognitive processing and the use of body movement as part of the cognitive system. While there is evidence on the influence of body position on task processing in static experimental set-ups, i.e. stimulus-hands proximity effects, little is known about the influence of dynamic movement in this context. In three dual-task experiments the present study investigated the impact of a left versus right movement response in Task 1 (R1) on between-task interference when moving either towards or away from a laterally presented stimulus in Task 2 (S2). In conditions of identical task sets (i.e., number categorization in both tasks) response-time analysis showed increased between-task interference when participants had to move towards S2 as when they moved away from S2. This pattern occurred for both predictable (Experiment 1) and unpredictable S2 location (Experiment 3). However, with different task sets in each task the hand movement effect disappeared altogether (Experiment 2). Mouse-tracking analyses revealed that specific R1 movement parameters accompanied the hand movement effect. Together, our results suggest that task shielding in Task 1 was improved when the movement of the Task 1 response was directed away from the Task 2 stimulus than towards the Task 2 stimulus. Results are discussed in the context of stimulus-hands proximity effects in embodied cognition.