The biased distribution of dispersed repeat insertions in various types of primate specific alpha satellites (AS) is being discussed in the literature in relation to the modes of AS evolution and their possible roles in maintenance and disruption of functional centromeres. However, such a bias has not been properly documented on a genome-wide scale so far. In this work, using a representative sample of about 100 insertions we show that the "old" AS contains at least 10 times more dispersed repeats than the "new" one. In the new arrays insertions accumulate mostly in poorly homogenized areas, presumably in the edges, and in the old AS, throughout the whole array length. Dating of L1 insertions in the old AS revealed that their massive accumulation started at or after the time when the new AS emerged and expanded in the genome and the centromere function had shifted to the new AS arrays.