diff --git a/configure/os/CONFIG_SITE.Common.linux-aarch64 b/configure/os/CONFIG_SITE.Common.linux-aarch64
index 5c34e9e10..7da494439 100644
--- a/configure/os/CONFIG_SITE.Common.linux-aarch64
+++ b/configure/os/CONFIG_SITE.Common.linux-aarch64
@@ -34,5 +34,6 @@
 # WARNING: Variables that are set in $(CONFIG)/CONFIG.gnuCommon cannot be
 # overridden in this file for native builds, e.g. variables such as
 #    OPT_CFLAGS_YES, WARN_CFLAGS, SHRLIB_LDFLAGS
-# They must be set in CONFIG_SITE.linux-aarch64.linux-aarch64 instead.
+# They must be set in CONFIG_SITE.linux-aarch64.linux-aarch64 or for
+# cross-builds in CONFIG_SITE.<host-arch>.linux-aarch64 instead.
 
diff --git a/configure/os/CONFIG_SITE.linux-x86_64.linux-aarch64 b/configure/os/CONFIG_SITE.linux-x86_64.linux-aarch64
index f4748621f..569d1c384 100644
--- a/configure/os/CONFIG_SITE.linux-x86_64.linux-aarch64
+++ b/configure/os/CONFIG_SITE.linux-x86_64.linux-aarch64
@@ -1,6 +1,6 @@
-# CONFIG_SITE.linux-x86.linux-aarch64
+# CONFIG_SITE.linux-x86_64.linux-aarch64
 #
-# Site specific definitions for linux-x86 host - linux-aarch64 target builds
+# Site specific definitions for linux-x86_64 host - linux-aarch64 target builds
 #-------------------------------------------------------
 
 # Set GNU crosscompiler target name