diff --git a/scripts/mysql_secure_installation.pl.in b/scripts/mysql_secure_installation.pl.in
index 25339f9b916..0cd99267cdb 100755
--- a/scripts/mysql_secure_installation.pl.in
+++ b/scripts/mysql_secure_installation.pl.in
@@ -208,7 +208,7 @@ sub remove_anonymous_users {
 }
 
 sub remove_remote_root {
-  if (do_query("DELETE FROM mysql.user WHERE User='root' AND Host!='localhost';")) {
+  if (do_query("DELETE FROM mysql.user WHERE User='root' AND Host NOT IN ('localhost', '127.0.0.1', '::1');")) {
     print " ... Success!\n";
   } else {
     print " ... Failed!\n";
diff --git a/scripts/mysql_secure_installation.sh b/scripts/mysql_secure_installation.sh
index 188cd030dba..ed789677bf0 100644
--- a/scripts/mysql_secure_installation.sh
+++ b/scripts/mysql_secure_installation.sh
@@ -164,7 +164,7 @@ remove_anonymous_users() {
 }
 
 remove_remote_root() {
-    do_query "DELETE FROM mysql.user WHERE User='root' AND Host!='localhost';"
+    do_query "DELETE FROM mysql.user WHERE User='root' AND Host NOT IN ('localhost', '127.0.0.1', '::1');"
     if [ $? -eq 0 ]; then
 	echo " ... Success!"
     else