Among the different classes of coding techniques proposed in literature, predictive schemes have proven their outstanding performance in near-lossless compression. However, these schemes are incapable of providing embedded Linf-oriented compression, or, at most, provide a very limited number of potential Linf bit-stream truncation points. We propose a new multi-dimensional wavelet-based Linf-constrained scalable coding framework that generates a fully embedded Linf-oriented bit-stream and that retains the coding performance and all the scalability options of state-of-the-art L2-oriented wavelet codecs. Moreover, our codec instantiation of the proposed framework clearly outperforms JPEG2000 in Linf coding sense.