diff --git a/rest_framework/request.py b/rest_framework/request.py
index 4f413e03f6..5de6843bbf 100644
--- a/rest_framework/request.py
+++ b/rest_framework/request.py
@@ -372,19 +372,23 @@ def _not_authenticated(self):
         else:
             self.auth = None
 
-    def __getattribute__(self, attr):
+    def __getattr__(self, attr):
         """
         If an attribute does not exist on this instance, then we also attempt
         to proxy it to the underlying HttpRequest object.
         """
         try:
-            return super(Request, self).__getattribute__(attr)
+            return getattr(self._request, attr)
         except AttributeError:
-            info = sys.exc_info()
+            outer_info = sys.exc_info()
+
+            # raise the 'original' AttributeError for the proxying Request object instead of the underlying
+            # HttpRequest object.
             try:
-                return getattr(self._request, attr)
+                self.__getattribute__(attr)
             except AttributeError:
-                six.reraise(info[0], info[1], info[2].tb_next)
+                inner_info = sys.exc_info()
+                six.reraise(inner_info[0], inner_info[1], outer_info[2].tb_next)
 
     @property
     def DATA(self):
diff --git a/tests/test_request.py b/tests/test_request.py
index a87060df10..e8c04a01be 100644
--- a/tests/test_request.py
+++ b/tests/test_request.py
@@ -249,3 +249,28 @@ def test_default_secure_false(self):
     def test_default_secure_true(self):
         request = Request(factory.get('/', secure=True))
         assert request.scheme == 'https'
+
+
+class TestWSGIRequestProxy(TestCase):
+    def test_access_inner_property(self):
+        wsgi_request = factory.get('/')
+
+        sentinel = object()
+        wsgi_request.__dict__['inner_property'] = sentinel
+
+        request = Request(wsgi_request)
+
+        assert request.inner_property is sentinel
+
+    def test_access_outer_property(self):
+        wsgi_request = factory.get('/')
+
+        inner_sentinel = object()
+        wsgi_request.__dict__['inner_property'] = inner_sentinel
+
+        request = Request(wsgi_request)
+
+        outer_sentinel = object()
+        request.__dict__['inner_property'] = outer_sentinel
+
+        assert request.inner_property is outer_sentinel