diff --git a/README.md b/README.md
index 7822977..40c4eb2 100644
--- a/README.md
+++ b/README.md
@@ -52,10 +52,10 @@ The first argument can be :
 ### WordPress
 
 #### wordpress_cron
-A daily cron to check [WordPress][wordpress website]'s plugins got available update.
+A daily cron to check [WordPress][wordpress website]'s Core and plugins updates.
   * It need [**wp-cli**][wp-cli website] tool.
-  * If an update is available, it will create a empty file (${WP_ROOT}/.update), else it will ensure the "update" file is absent.
-    * So, be sure to monitore if the file **${WP_ROOT}/.update** exists !
+  * If an update is available, it will create a empty file (${WP_ROOT}/.update_core or ${WP_ROOT}/.update_plugin), else it will ensure the "update" files are absents.
+    * So, be sure to monitore if the files **${WP_ROOT}/.update_*** exists !
 
 [wordpress website]: https://wordpress.org/
 [wp-clie website]: https://make.wordpress.org/cli/handbook/installing/
diff --git a/wordpress_cron b/wordpress_cron
index a90dc1b..50ca331 100755
--- a/wordpress_cron
+++ b/wordpress_cron
@@ -2,11 +2,14 @@
 
 # This script do the following :
 #	Use wp-cli (https://make.wordpress.org/cli/handbook/installing/)
+#	Verify if an update is available for the WordPress core.
+#		Create a file you need to monitore.
 #	Verify if an update is available for WordPress plugins.
 #		Create a file you need to monitore.
 
 WP_ROOT="/var/www/wordpress"
 WP_CLI_PATH="/usr/local/bin/wp"
+WP_CORE_UPDATE_LOG="${WP_ROOT}/.update_core"
 WP_PLUGIN_UPDATE_LOG="${WP_ROOT}/.update_plugin"
 
 if [ ! -d "${WP_ROOT}" ]; then
@@ -19,14 +22,24 @@ if [ ! -f "${WP_CLI_PATH}" ]; then
 	exit 1
 fi
 
+# Verify if an update is available for WordPress
+if sudo -u www-data -- "${WP_CLI_PATH}" --path="${WP_ROOT}" plugin list|grep -v -i -q -- "success"
+then
+	touch "${WP_CORE_UPDATE_LOG}"
+	#printf '%b' "Please upgrade WordPress\n"
+else
+	rm -f "${WP_CORE_UPDATE_LOG}"
+	#printf '%b' "Nothing to do\n"
+fi
+
 # Verify if updates are availables for plugins
 if sudo -u www-data -- "${WP_CLI_PATH}" --path="${WP_ROOT}" plugin list|grep -q -- "available"
 then
 	touch "${WP_PLUGIN_UPDATE_LOG}"
-	printf '%b' "Please upgrade\n"
+	#printf '%b' "Please upgrade plugins\n"
 else
 	rm -f "${WP_PLUGIN_UPDATE_LOG}"
-	printf '%b' "Nothing to do\n"
+	#printf '%b' "Nothing to do\n"
 fi
 
 exit 0