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Overlapping of communication and computation has been intuitively used for a long time to improve the performance of parallel computing. One of approaches which allow increasing the ability of this overlapping is to use active message. This paper presents the study of the overlapping communication/computation performance of INUKTITUT, an interface based on active message. This interface allows effectively and easily carrying of parallel programming high-level environments such as Athapascan on the computing clusters. We will present in this paper different performance evaluations of INUKTITUT on overlapping potential.