diff --git a/flask/app.py b/flask/app.py
index bd721a4d..c45d640d 100644
--- a/flask/app.py
+++ b/flask/app.py
@@ -1304,6 +1304,8 @@ class Flask(_PackageBoundObject):
         When a teardown function was called because of a exception it will
         be passed an error object.
 
+        The return values of teardown functions are ignored.
+
         .. admonition:: Debug Note
 
            In debug mode Flask will not tear down a request on an exception
@@ -1338,6 +1340,8 @@ class Flask(_PackageBoundObject):
         When a teardown function was called because of an exception it will
         be passed an error object.
 
+        The return values of teardown functions are ignored.
+
         .. versionadded:: 0.9
         """
         self.teardown_appcontext_funcs.append(f)