diff --git a/lib/statslib.php b/lib/statslib.php
index 34a6907b470..7c6c53d0e45 100644
--- a/lib/statslib.php
+++ b/lib/statslib.php
@@ -81,9 +81,11 @@ function stats_cron_daily () {
         $daily_modules = array();
         $mods = get_records("modules");
         foreach ($mods as $mod) {
-            // include_once() will only warn if a mod is missing
-            // as we don't want processing to stop on such minutiae (MDL-7385)
-            include_once($CFG->dirroot.'/mod/'.$mod->name.'/lib.php');
+            $file = $CFG->dirroot.'/mod/'.$mod->name.'/lib.php';
+            if (!is_readable($file)) {
+                continue;
+            }
+            require_once($file);
             $fname = $mod->name.'_get_daily_stats';
             if (function_exists($fname)) {
                 $daily_modules[$mod] = $fname;
@@ -238,7 +240,11 @@ function stats_cron_weekly () {
         $weekly_modules = array();
         $mods = get_records("modules");
         foreach ($mods as $mod) {
-            include_once($CFG->dirroot.'/mod/'.$mod->name.'/lib.php');
+            $file = $CFG->dirroot.'/mod/'.$mod->name.'/lib.php';
+            if (!is_readable($file)) {
+                continue;
+            }
+            require_once($file);
             $fname = $mod->name.'_get_weekly_stats';
             if (function_exists($fname)) {
                 $weekly_modules[$mod] = $fname;
@@ -367,7 +373,11 @@ function stats_cron_monthly () {
         $monthly_modules = array();
         $mods = get_records("modules");
         foreach ($mods as $mod) {
-            include_once($CFG->dirroot.'/mod/'.$mod->name.'/lib.php');
+            $file = $CFG->dirroot.'/mod/'.$mod->name.'/lib.php';
+            if (!is_readable($file)) {
+                continue;
+            }
+            require_once($file);
             $fname = $mod->name.'_get_monthly_stats';
             if (function_exists($fname)) {
                 $monthly_modules[$mod] = $fname;
@@ -769,7 +779,11 @@ function stats_get_action_sql_in($str) {
     $function = 'stats_get_'.$str.'_actions';
     $actions = $function();
     foreach ($mods as $mod) {
-        include_once($CFG->dirroot.'/mod/'.$mod->name.'/lib.php');
+        $file = $CFG->dirroot.'/mod/'.$mod->name.'/lib.php';
+        if (!is_readable($file)) {
+            continue;
+        }
+        require_once($file);
         $function = $mod->name.'_get_'.$str.'_actions';
         if (function_exists($function)) {
             $actions = array_merge($actions,$function());