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It is well known in transform coding that the Karhunen-Loève Transform (KLT) can be suboptimal for non Gaussiansources. However in many applications using JPEG2000Part 2 codecs, the KLT is generally considered as the optimal linear transform for reducing redundancies between components of hyperspectral images. In previous works, optimal spectral transforms (OST) compatible with the JPEG2000 Part 2 standard have been introduced, performing better than the KLT but with an heavier computational cost. In this paper, we show that the OST computed on a learningbasis constituted of Hyperion hyperspectral images issuedfrom one sensor performs very well, and even better thanthe KLT, on other images issued from the same sensor.