diff --git a/django/contrib/auth/forms.py b/django/contrib/auth/forms.py
index 928c4c7988..84fc757e26 100644
--- a/django/contrib/auth/forms.py
+++ b/django/contrib/auth/forms.py
@@ -98,7 +98,7 @@ class UserChangeForm(forms.ModelForm):
     password = ReadOnlyPasswordHashField(label=_("Password"),
         help_text=_("Raw passwords are not stored, so there is no way to see "
                     "this user's password, but you can change the password "
-                    "using <a href=\"password/\">this form</a>."))
+                    "using <a href=\"../password/\">this form</a>."))
 
     class Meta:
         model = User
diff --git a/tests/auth_tests/test_views.py b/tests/auth_tests/test_views.py
index a6571a7cca..5ebe9f2938 100644
--- a/tests/auth_tests/test_views.py
+++ b/tests/auth_tests/test_views.py
@@ -3,6 +3,7 @@ from __future__ import unicode_literals
 
 import datetime
 import itertools
+import os
 import re
 from importlib import import_module
 
@@ -943,14 +944,28 @@ class ChangelistTests(AuthViewsTestCase):
         self.assertEqual(row.change_message, 'No fields changed.')
 
     def test_user_change_password(self):
+        user_change_url = reverse('auth_test_admin:auth_user_change', args=(self.admin.pk,))
+        password_change_url = reverse('auth_test_admin:auth_user_password_change', args=(self.admin.pk,))
+
+        response = self.client.get(user_change_url)
+        # Test the link inside password field help_text.
+        rel_link = re.search(
+            r'you can change the password using <a href="([^"]*)">this form</a>',
+            force_text(response.content)
+        ).groups()[0]
+        self.assertEqual(
+            os.path.normpath(user_change_url + rel_link),
+            os.path.normpath(password_change_url)
+        )
+
         response = self.client.post(
-            reverse('auth_test_admin:auth_user_password_change', args=(self.admin.pk,)),
+            password_change_url,
             {
                 'password1': 'password1',
                 'password2': 'password1',
             }
         )
-        self.assertRedirects(response, reverse('auth_test_admin:auth_user_change', args=(self.admin.pk,)))
+        self.assertRedirects(response, user_change_url)
         row = LogEntry.objects.latest('id')
         self.assertEqual(row.change_message, 'Changed password.')
         self.logout()