In this paper we present our observations about NIST's Compression estimate test given in SP-800 90B. We observe that steps 4 and 7 of the test may be re-framed to gain efficiency. Based on our observations, we propose a modified algorithm for the test which is twice as fast as the NIST's algorithm. We further claim that the values of probability and min-entropy in the example given for the test are incorrect. We also provide computational evidence in support of this claim.