Aspects of a method and system for processing signals utilizing a programmable interference suppression module are provided. In this regard, a received signal may be iteratively processed to generate an interference suppressed representation of the received signal. The iterative processing may comprise a weighting iteration; an addback weighting and un-addback iteration, and an addback iteration. The weighting iteration may comprise generating one or more first estimate signals that estimate user signals present in the received signal. The addback, weighting, and un-addback iteration may comprise generating one or more incremental estimate signals based on the one or more first estimate signals and the one or more second estimate signals. The addback iteration may comprise generating an interference suppressed representation of the received signal based on at least the one or more second estimate signals.