Index: class-wp-upgrader.php
===================================================================
--- class-wp-upgrader.php	(revision 34348)
+++ class-wp-upgrader.php	(working copy)
@@ -3357,6 +3357,25 @@
 
 		// Plugins, Themes, Translations
 		foreach ( array( 'plugin', 'theme', 'translation' ) as $type ) {
+    		
+            /**
+            * Filter to receive notification emails on plugins/themes/translators.
+            *
+            * By default, administrators are notified when the update offer received
+            * from WordPress.org sets a particular flag. This allows some discretion
+            * in if and when to notify.
+            *
+            * This filter is only evaluated once per plugin update
+            *.
+            *
+            * @since 4.4.0
+            *
+            * @param bool   $notify Whether the site administrator is notified.
+            * @param string $type   The type of update (plugin, theme, translation).
+            */
+    		if ( !apply_filters( 'send_update_notification_email', true, $type ) ) {
+        		return;
+            }
 			if ( ! isset( $this->update_results[ $type ] ) )
 				continue;
 			$success_items = wp_list_filter( $this->update_results[ $type ], array( 'result' => true ) );