—The suppression of late reverberation by spectral subtraction tends to degrade disproportionally low-level signal regions and signal transients. This work proposes two novel relaxation criteria that can constrain such problems in a signal-dependent fashion. These criteria were found to improve the performance of state-of-the-art late reverberation suppression algorithms when used in conjunction with a perceptually motivated non-linear filtering stage. Objective results indicate that the proposed method is robust over a wide range of practical reverberation scenarios.