diff --git a/lms/djangoapps/lti_provider/outcomes.py b/lms/djangoapps/lti_provider/outcomes.py
index bcfd37a883..bc02bcb3ec 100644
--- a/lms/djangoapps/lti_provider/outcomes.py
+++ b/lms/djangoapps/lti_provider/outcomes.py
@@ -3,18 +3,39 @@ Helper functions for managing interactions with the LTI outcomes service defined
 in LTI v1.1.
 """
 
+from hashlib import sha1
+from base64 import b64encode
 import logging
+import uuid
+
 from lxml import etree
 from lxml.builder import ElementMaker
+from oauthlib.oauth1 import Client
+from oauthlib.common import to_unicode
 import requests
 import requests_oauthlib
-import uuid
 
 from lti_provider.models import GradedAssignment, OutcomeService
 
 log = logging.getLogger("edx.lti_provider")
 
 
+class BodyHashClient(Client):
+    """
+    OAuth1 Client that adds body hash support (required by LTI).
+
+    The default Client doesn't support body hashes, so we have to add it ourselves.
+    The spec:
+        https://oauth.googlecode.com/svn/spec/ext/body_hash/1.0/oauth-bodyhash.html
+    """
+    def get_oauth_params(self, request):
+        """Override get_oauth_params to add the body hash."""
+        params = super(BodyHashClient, self).get_oauth_params(request)
+        digest = b64encode(sha1(request.body.encode('UTF-8')).digest())
+        params.append((u'oauth_body_hash', to_unicode(digest)))
+        return params
+
+
 def store_outcome_parameters(request_params, user, lti_consumer):
     """
     Determine whether a set of LTI launch parameters contains information about
@@ -112,7 +133,13 @@ def sign_and_send_replace_result(assignment, xml):
     # message. Testing with Canvas throws an error when this field is included.
     # This code may need to be revisited once we test with other LMS platforms,
     # and confirm whether there's a bug in Canvas.
-    oauth = requests_oauthlib.OAuth1(consumer_key, consumer_secret)
+    oauth = requests_oauthlib.OAuth1(
+        consumer_key,
+        consumer_secret,
+        signature_method='HMAC-SHA1',
+        client_class=BodyHashClient,
+        force_include_body=True
+    )
 
     headers = {'content-type': 'application/xml'}
     response = requests.post(
@@ -121,6 +148,7 @@ def sign_and_send_replace_result(assignment, xml):
         auth=oauth,
         headers=headers
     )
+
     return response
 
 
diff --git a/lms/djangoapps/lti_provider/tests/test_outcomes.py b/lms/djangoapps/lti_provider/tests/test_outcomes.py
index 981a56a704..4845e7ff3e 100644
--- a/lms/djangoapps/lti_provider/tests/test_outcomes.py
+++ b/lms/djangoapps/lti_provider/tests/test_outcomes.py
@@ -1,16 +1,20 @@
 """
 Tests for the LTI outcome service handlers, both in outcomes.py and in tasks.py
 """
+import unittest
 
 from django.test import TestCase
 from lxml import etree
 from mock import patch, MagicMock, ANY
+import requests_oauthlib
+import requests
+
+from opaque_keys.edx.locator import CourseLocator, BlockUsageLocator
 from student.tests.factories import UserFactory
 
 from lti_provider.models import GradedAssignment, LtiConsumer, OutcomeService
 import lti_provider.outcomes as outcomes
 import lti_provider.tasks as tasks
-from opaque_keys.edx.locator import CourseLocator, BlockUsageLocator
 
 
 class StoreOutcomeParametersTest(TestCase):
@@ -363,3 +367,44 @@ class XmlHandlingTest(TestCase):
             major_code='<imsx_codeMajor>failure</imsx_codeMajor>'
         )
         self.assertFalse(outcomes.check_replace_result_response(response))
+
+
+class TestBodyHashClient(unittest.TestCase):
+    """
+    Test our custom BodyHashClient
+
+    This Client should do everything a normal oauthlib.oauth1.Client would do,
+    except it also adds oauth_body_hash to the Authorization headers.
+    """
+    def test_simple_message(self):
+        oauth = requests_oauthlib.OAuth1(
+            '1000000000000000',  # fake consumer key
+            '2000000000000000',  # fake consumer secret
+            signature_method='HMAC-SHA1',
+            client_class=outcomes.BodyHashClient,
+            force_include_body=True
+        )
+        headers = {'content-type': 'application/xml'}
+        req = requests.Request(
+            'POST',
+            "http://example.edx.org/fake",
+            data="Hello world!",
+            auth=oauth,
+            headers=headers
+        )
+        prepped_req = req.prepare()
+
+        # Make sure that our body hash is now part of the test...
+        self.assertIn(
+            'oauth_body_hash="00hq6RNueFa8QiEjhep5cJRHWAI%3D"',
+            prepped_req.headers['Authorization']
+        )
+
+        # But make sure we haven't wiped out any of the other oauth values
+        # that we would expect to be in the Authorization header as well
+        expected_oauth_headers = [
+            "oauth_nonce", "oauth_timestamp", "oauth_version",
+            "oauth_signature_method", "oauth_consumer_key", "oauth_signature",
+        ]
+        for oauth_header in expected_oauth_headers:
+            self.assertIn(oauth_header, prepped_req.headers['Authorization'])