In this paper, we present an algorithm for Real-time Iterative Spectrogram Inversion (RTISI) with Look-Ahead (RTISI-LA). RTISI-LA reconstructs a time-domain signal from a given sequence of short-time Fourier transform magnitude (STFTM) spectra without phase information. Whereas RTISI [1] reconstructs the current frame using only magnitude spectra information for previous frames and the current frame, RTISI-LA also uses magnitude spectra for a small number future frames. This allows RTISI-LA to achieve substantially higher signal-to-noise (SNR) performance than either RTISI or the Griffin&Lim method [2][3] with an equivalent computational load, while retaining the real-time properties of RTISI.