It　is　well-known　that　the　Cauchy　problem　of　the　compressible　liquid　crystals　flow　admits　a　unique　global-in-time　solution,　belonging　to　C-0(R-0(+)　,　H-l(R-3))　with　l　＞=　3;　moreover　the　lower-order　or　higher-order　derivative　of　solution　enjoys　the　same　decay-in-time　rate　as　well　as　the　linear　solution　(i.e.,　the　solution　of　the　corresponding　linear　problem).　In　this　paper　we　further　prove　that　highest-order　derivative　of　the　unique　solution　also　enjoys　the　same　decay-in-time　rate　as　well　as　the　linear　solution　by　developing　new　analytical　skills.　In　other　words,　the　optimal　decay　rate　for　the　highest-order　derivative　of　solution　can　be　also　obtained.　(C)　2021　Elsevier　Ltd.　All　rights　reserved.