diff --git a/cmake/archdetect.cmake b/cmake/archdetect.cmake
index 87c4c4e7..494269c2 100644
--- a/cmake/archdetect.cmake
+++ b/cmake/archdetect.cmake
@@ -69,7 +69,7 @@ if (USE_CPU_NATIVE)
 else()
     if (SIMDE_BACKEND)
         set(GNUCC_ARCH native)
-        set(TUNE_FLAG generic)
+        set(TUNE_FLAG native)
     elseif (ARCH_IA32 OR ARCH_X86_64)
         set(GNUCC_ARCH native)
         set(TUNE_FLAG generic)