diff --git a/toolchain/gcc/patches/5.4.0/030-macos-header-fix-backport.patch b/toolchain/gcc/patches/5.4.0/030-macos-header-fix-backport.patch
new file mode 100644
index 0000000000..37c774e0b2
--- /dev/null
+++ b/toolchain/gcc/patches/5.4.0/030-macos-header-fix-backport.patch
@@ -0,0 +1,10 @@
+--- a/gcc/system.h
++++ b/gcc/system.h
+@@ -216,6 +216,7 @@ extern int errno;
+ 
+ #ifdef __cplusplus
+ # include <algorithm>
++# include <map>
+ # include <cstring>
+ # include <utility>
+ #endif