In this paper we describe and evaluate an acoustic echo suppression method that operates in the Short-Time Fourier Transform (STFT) domain. The system estimates the short-time spectrum of the acoustic interference component that causes the echo at the far end and subtracts it from the short-time spectrum of the microphone input using a non-linear spectral subtraction rule, allowing for a trade-off between speech distortion and residual rejection. The interference estimator uses a set of decoupled adaptive FIR filters that operate on the STFT sub-band trajectories and that can be extended to include multiple acoustic channels. The method is shown be efficient, and a viable and robust alternative to acoustic echo cancellation methods when the computation requirements are constringent.