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Compressive Sensing (CS) is gaining popularity in video codec applications because of its low-complexity encoding procedure. However, traditional motion estimation is unable to be adopted to reduce the inter-frame redundancy in CS. Therefore, how to reduce the inter-frame redundancy is becoming the top priority for CS. In this article, similar redundancy is also discovered in excessive CS measurements via analyzing the relationship between the CS measurements and the original signal. Consequently, a proposed scheme is to conditionally reuse CS measurements to reduce the redundancy among CS measurements and increase video compression ratio. The experimental results show the proposed scheme can increase 20% compression rate. At the same time, the proposed scheme still maintains the low-complexity characteristic.