Echo threshold is that critical delay of a lagging signal (the echo) at which the echo is ‘‘suppressed’’—i.e., at which one rather than two events is perceived. It has recently been shown that echo threshold increases in most subjects when they are exposed to a train of redundant information prior to the test stimulus presentation—that is, there is buildup of echo suppression in the presence of the preceding train [Clifton et al., J. Acoust. Soc. Am. 95, 1525–1533 (1994)]. The present investigation measured echo threshold in 25 normal‐hearing adult subjects, both for isolated (baseline) test stimuli and for test stimuli preceded by a redundant train of stimuli (buildup conditions). The test stimulus was a 4‐ms wideband noise burst pair, in which the lead burst was presented from either the left or right side (from near −45° or near +45° in different runs), and the lag burst was presented from the opposite side. Echo delay was varied adaptively, and the subject’s task was to indicate on each trial which of two alternative positions (separated by 20°) the lag source was presented from. Average echo threshold in the baseline condition was 11.2 ms (in agreement with previous results) and did not depend on whether the lead burst was on the subject’s left or right side. Average echo threshold in the buildup conditions was significantly elevated. Interestingly, there was a significantly greater buildup effect when the lead stimulus came from the subject’s right side (average echo threshold: 24.4 ms) than when it came from the left side (average: 18.8 ms). This result agrees with informal observations made by Clifton and Freyman [Percept. Psychophys. 46, 139–145 (1989)] and suggests that there is more effective suppression of echo information when the lead stimulus originates from the right side (i.e., the side contralateral to the typically dominant hemisphere) than when it originates from the left side. The distribution of the magnitude of buildup effects across subjects (i.e., echo threshold in the presence of the train minus baseline echo threshold) was unimodal and symmetric, both for lag source on left (mean: 14.1 ms) and for lag source on right (mean: 6.7 ms). These results are discussed in relation to other hearing asymmetries that have been reported.