diff -u b/src/Plugin/monitoring/SensorPlugin/UserIntegritySensorPlugin.php b/src/Plugin/monitoring/SensorPlugin/UserIntegritySensorPlugin.php
--- b/src/Plugin/monitoring/SensorPlugin/UserIntegritySensorPlugin.php
+++ b/src/Plugin/monitoring/SensorPlugin/UserIntegritySensorPlugin.php
@@ -75,14 +75,17 @@
       }
     }
 
-    // Check role IDs with restricted permissions and show a message.
+    // Check anonymous and authenticated users with restricted permissions and
+    // show a message.
+    $user_register = \Drupal::config('user.settings')->get('register');
+    $role_ids = array_intersect($role_ids, ['authenticated', 'anonymous']);
     foreach (Role::loadMultiple($role_ids) as $role) {
-      if ($role->id() != 'anonymous' && !$role->hasPermission('administer account settings')) {
+      if ($role->id() == 'authenticated' && $user_register == USER_REGISTER_ADMINISTRATORS_ONLY) {
         $sensor_result->addStatusMessage($role->label() . ' has privileged access but not for registration');
         $sensor_result->setStatus(SensorResultInterface::STATUS_WARNING);
       }
-      elseif (!$role->isAdmin()) {
-        $sensor_result->addStatusMessage($role->label() . ' has privileged access including registration');
+      else {
+        $sensor_result->addStatusMessage($role->label() . ' has privileged access');
         $sensor_result->setStatus(SensorResultInterface::STATUS_CRITICAL);
       }
     }
diff -u b/src/Tests/MonitoringCoreWebTest.php b/src/Tests/MonitoringCoreWebTest.php
--- b/src/Tests/MonitoringCoreWebTest.php
+++ b/src/Tests/MonitoringCoreWebTest.php
@@ -156,47 +156,49 @@
     $this->drupalLogin($test_user_first);
     // Check sensor message after first privilege user creation.
     $result = $this->runSensor('user_integrity');
-    $this->assertTrue(strpos($result->getMessage(), '1 privileged user(s)') !== FALSE);
+    $this->assertEqual($result->getMessage(), '1 privileged user(s)');
 
     // Create second privileged user.
     $test_user_second = $this->drupalCreateUser(array(), 'test_user_2', TRUE);
     $this->drupalLogin($test_user_second);
     // Check sensor message after new privilege user creation.
     $result = $this->runSensor('user_integrity');
-    $this->assertTrue(strpos($result->getMessage(), '2 privileged user(s), 1 new user(s)') !== FALSE);
+    $this->assertEqual($result->getMessage(), '2 privileged user(s), 1 new user(s)');
 
     // Reset the user data, button is tested in UI tests.
     \Drupal::keyValue('monitoring.users')->deleteAll();
     $result = $this->runSensor('user_integrity');
-    $this->assertTrue(strpos($result->getMessage(), '2 privileged user(s)') !== FALSE);
+    $this->assertEqual($result->getMessage(), '2 privileged user(s)');
 
     // Make changes to a user.
     $test_user_second->setUsername('changed');
     $test_user_second->save();
     // Check sensor message for user changes.
     $result = $this->runSensor('user_integrity');
-    $this->assertTrue(strpos($result->getMessage(), '2 privileged user(s), 1 changed user(s)') !== FALSE);
+    $this->assertEqual($result->getMessage(), '2 privileged user(s), 1 changed user(s)');
 
     // Reset the user data again, check sensor message.
     \Drupal::keyValue('monitoring.users')->deleteAll();
     $result = $this->runSensor('user_integrity');
-    $this->assertTrue(strpos($result->getMessage(), '2 privileged user(s)') !== FALSE);
+    $this->assertEqual($result->getMessage(), '2 privileged user(s)');
 
-    // Check if authenticated or anonymous users have privileged access.
-    // Create an authenticated user with privilege of registration..
-    $test_user_third = $this->drupalCreateUser([
-      'administer account settings',
-    ]);
-    $this->drupalLogin($test_user_third);
+    // Add permissions to authenticated user with no privilege of registration.
+    \Drupal::configFactory()->getEditable('user.settings')->set('register', 'admin_only')->save();
+    user_role_grant_permissions(RoleInterface::AUTHENTICATED_ID, array('administer account settings'));
     $result = $this->runSensor('user_integrity');
+    $this->assertTrue($result->isWarning());
+    $this->assertEqual($result->getMessage(), '2 privileged user(s), Authenticated user has privileged access but not for registration');
 
-    $role_id = user_role_load($test_user_third->getRoles()[1]);
-    $this->assertTrue(strpos($result->getMessage(), $role_id->label() . ' has privileged access including registration') !== FALSE);
-
-    // Add privileges to anonymous user and check the sensor.
+    // Add permissions to anonymous user and check the sensor.
     user_role_grant_permissions(RoleInterface::ANONYMOUS_ID, array('administer account settings'));
     $result = $this->runSensor('user_integrity');
-    $this->assertTrue(strpos($result->getMessage(), 'Anonymous user has privileged access including registration') !== FALSE);
+    $this->assertEqual($result->getMessage(), '2 privileged user(s), Anonymous user has privileged access, Authenticated user has privileged access but not for registration');
+
+    // Authenticated user with privilege of registration.
+    \Drupal::configFactory()->getEditable('user.settings')->set('register', 'visitors')->save();
+    $result = $this->runSensor('user_integrity');
+    $this->assertTrue($result->isCritical());
+    $this->assertEqual($result->getMessage(), '2 privileged user(s), Anonymous user has privileged access, Authenticated user has privileged access');
   }
 
   /**