diff --git a/CMakeLists.txt b/CMakeLists.txt
index 2895f208..440a8bab 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -437,7 +437,7 @@ if(CMAKE_C_COMPILER_ID MATCHES "AppleClang|Clang|GNU|Intel" AND NOT CMAKE_SYSTEM
     if(APPLE AND CMAKE_C_COMPILER_ID STREQUAL "AppleClang" AND CMAKE_OSX_ARCHITECTURES)   # to support multi-arch binaries (#999)
       set(MI_OPT_ARCH_FLAGS "")
       if("arm64" IN_LIST CMAKE_OSX_ARCHITECTURES)
-        list(APPEND MI_OPT_ARCH_FLAGS "-Xarch_arm64;-march=armv8.1-a")
+        list(APPEND MI_OPT_ARCH_FLAGS "-Xarch_arm64;-march=armv8.1-a;-mtune=native")
       endif()
       if("x86_64" IN_LIST CMAKE_OSX_ARCHITECTURES)
         list(APPEND MI_OPT_ARCH_FLAGS "-Xarch_x86_64;-march=haswell;-Xarch_x86_64;-mavx2")