AbstractImagery plays an important role in hypnotic phenomena. Recent findings have shown, however, that hypnotized subjects with high (Highs) and low (Lows) susceptibility to hypnosis undergoing guided imagery tasks centred on specific sensory modalities share similar visual imagery ability, but Highs obtain better imagery than Lows when tactile instructions are given. The aim of this experiment was to confirm this finding using instructions of globally reduced perception instead of suggestions centred on specific sensory modalities, assuming that the preferred imagery modality would be the least easily suppressed. Changes in body sway (that are sensitive to cognitive activity because postural control requires attention) were used as indices of possible differences in the cognitive task load in Highs and Lows. The results confirmed the hypothesis that Highs and Lows differ in their preferred imagery modalities, and showed that Highs' body sway was not modified by the simultaneous imagery of globally reduced perception, while Lows increased their sway while perceiving the decreased sensory availability. The Discussion focuses on the similar networks involved in imagery and perception and on possible differences between Highs and Lows in the mechanisms of imagery/perception and sensory‐motor integration. Copyright © 2007 British Society of Experimental & Clinical Hypnosis. Published by John Wiley & Sons, Ltd.