diff --git a/report/completion/index.php b/report/completion/index.php
index a235511805627..73380d7e011aa 100644
--- a/report/completion/index.php
+++ b/report/completion/index.php
@@ -546,7 +546,7 @@
     if ($csv) {
         $row = array();
         $row[] = $user->id;
-        $row[] = fullname($user);
+        $row[] = fullname($user, has_capability('moodle/site:viewfullnames', $context));
         foreach ($extrafields as $field) {
             $row[] = $user->{$field};
         }
@@ -559,7 +559,8 @@
             $userurl = new moodle_url('/user/view.php', array('id' => $user->id, 'course' => $course->id));
         }
 
-        print '<th scope="row"><a href="'.$userurl->out().'">'.fullname($user).'</a></th>';
+        print '<th scope="row"><a href="' . $userurl->out() . '">' .
+            fullname($user, has_capability('moodle/site:viewfullnames', $context)) . '</a></th>';
         foreach ($extrafields as $field) {
             echo '<td>'.s($user->{$field}).'</td>';
         }
diff --git a/report/completion/tests/behat/completion_report.feature b/report/completion/tests/behat/completion_report.feature
new file mode 100644
index 0000000000000..0f2af7b930a48
--- /dev/null
+++ b/report/completion/tests/behat/completion_report.feature
@@ -0,0 +1,37 @@
+@report @report_completion
+Feature: See the completion for items in a course
+  In order see completion data
+  As a teacher
+  I need to view completion report
+
+  Background:
+    Given the following "users" exist:
+      | username | firstname | lastname    | email                | idnumber | middlename | alternatename | firstnamephonetic | lastnamephonetic |
+      | teacher1 | Teacher   | 1           | teacher1@example.com | t1       |            | fred          |                   |                  |
+      | student1 | Grainne   | Beauchamp   | student1@example.com | s1       | Ann        | Jill          | Gronya            | Beecham          |
+    And the following "courses" exist:
+      | fullname | shortname | category | enablecompletion |
+      | Course 1 | C1        | 0        | 1                |
+    And the following "course enrolments" exist:
+      | user     | course | role           |
+      | teacher1 | C1     | editingteacher |
+      | student1 | C1     | student        |
+    And the following "activities" exist:
+      | activity | name       | intro      | course | idnumber | completion | completionview |
+      | page     | PageName1  | PageDesc1  | C1     | PAGE1    | 1          | 1              |
+    And the following config values are set as admin:
+      | fullnamedisplay | firstname |
+      | alternativefullnameformat | middlename, alternatename, firstname, lastname |
+
+  @javascript
+  Scenario: Go to the completion report
+    Given I log in as "teacher1"
+    And I am on "Course 1" course homepage
+    And I navigate to "Course completion" in current page administration
+    And I expand all fieldsets
+    And I set the following fields to these values:
+      | Page - PageName1 | 1 |
+    And I press "Save changes"
+    And I am on "Course 1" course homepage
+    When I navigate to "Reports > Course completion" in current page administration
+    Then I should see "Ann, Jill, Grainne, Beauchamp"