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We propose a feature selection approach for clustering which extends Koller and Sahami's mutual-information-based criterion to the unsupervised case. This is achieved with the help of a mixture-based model and the corresponding expectation-maximization algorithm. The result is a backward search scheme, able to sort the features by order of relevance. Finally, an MDL criterion is used to prune the sorted list of features, yielding a feature selection criterion. The proposed approach can be classied as a wrapper, since it wraps the mixture es-timation algorithm in an outer layer that performs feature selection. Preliminary experimental results show that the proposed method has promising performance.