diff --git a/tests/test_auth_fc.py b/tests/test_auth_fc.py
index dfaeb7f..06ea033 100644
--- a/tests/test_auth_fc.py
+++ b/tests/test_auth_fc.py
@@ -109,6 +109,9 @@ def test_login(app, fc_settings, caplog, exp):
         # we must be connected
         assert app.session['_auth_user_id']
         assert models.FcAccount.objects.count() == 1
+        # by default we set a random password on new users, so they can use the
+        # recover my password form
+        assert User.objects.get().has_usable_password()
         response = app.get('/accounts/')
         response = response.click('Delete link')
         response.form.set('new_password1', 'ikKL1234')
@@ -161,13 +164,29 @@ def test_login_email_is_unique(app, fc_settings, caplog):
             'email': 'john.doe@example.com',
         })
 
-    User.objects.create(email='john.doe@example.com', first_name='John', last_name='Doe')
+    user = User.objects.create(email='john.doe@example.com', first_name='John', last_name='Doe')
+    user.set_password('toto')
+    user.save()
     fc_settings.A2_EMAIL_IS_UNIQUE = True
     with httmock.HTTMock(access_token_response, user_info_response):
         response = app.get(callback + '?code=zzz&state=%s' % state, status=302)
     assert User.objects.count() == 1
     assert app.session['_auth_user_id']
 
+    # logout, test unlinking when logging with password
+    app.session.flush()
+    response = app.get('/login/')
+    response.form.set('username', User.objects.get().email)
+    response.form.set('password', 'toto')
+    response = response.form.submit(name='login-password-submit').follow()
+
+    response = app.get('/accounts/')
+    response = response.click('Delete link')
+    assert 'new_password1' not in response.form.fields
+    response = response.form.submit(name='unlink').follow()
+    assert 'The link with the FranceConnect account has been deleted' in response.content
+    assert response.request.path == '/accounts/'
+
 
 def test_login_email_is_unique_and_already_linked(app, fc_settings, caplog):
     callback = reverse('fc-login-or-link')