diff --git a/CHANGELOG.md b/CHANGELOG.md
index 52e4d10db..04d093f02 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -2,7 +2,10 @@ CHANGELOG
 =========
 
 ## HEAD (Unreleased)
-_(none)
+
+- Python SDK: Avoid raising an error when an output has a type annotation of Any
+  and the value is a list or dict.
+  [#5238](https://github.com/pulumi/pulumi/pull/5238)
 
 ## 2.9.0 (2020-08-19)
 
diff --git a/sdk/python/lib/pulumi/runtime/rpc.py b/sdk/python/lib/pulumi/runtime/rpc.py
index 1e4b71e8e..033fb9ed3 100644
--- a/sdk/python/lib/pulumi/runtime/rpc.py
+++ b/sdk/python/lib/pulumi/runtime/rpc.py
@@ -399,6 +399,11 @@ def translate_output_properties(output: Any,
     # Unwrap optional types.
     typ = _types.unwrap_optional_type(typ) if typ else typ
 
+    # If the typ is Any, set it to None to treat it as if we don't have any type information,
+    # to avoid raising errors about unexpected types, since it could be any type.
+    if typ is Any:
+        typ = None
+
     if isinstance(output, dict):
         # Function called to lookup a type for a given key.
         # The default always returns None.
diff --git a/sdk/python/lib/test/test_translate_output_properties.py b/sdk/python/lib/test/test_translate_output_properties.py
index 8d525ba98..2a7c1a6e0 100644
--- a/sdk/python/lib/test/test_translate_output_properties.py
+++ b/sdk/python/lib/test/test_translate_output_properties.py
@@ -13,7 +13,7 @@
 # limitations under the License.
 
 import unittest
-from typing import Dict, List, Optional
+from typing import Any, Dict, List, Mapping, Optional
 
 from pulumi.runtime import rpc
 import pulumi
@@ -326,6 +326,15 @@ class InvalidTypeDeclaredOptionalListOptionalStr(dict):
         ...
 
 
+@pulumi.output_type
+class OutputTypeWithAny(dict):
+    value_dict: Any
+    value_list: Any
+    value_dict_dict: Mapping[str, Any]
+    value_list_list: List[Any]
+    value_str: Any
+
+
 class TranslateOutputPropertiesTests(unittest.TestCase):
     def test_translate(self):
         output = {
@@ -550,3 +559,19 @@ class TranslateOutputPropertiesTests(unittest.TestCase):
             for output in outputs:
                 with self.assertRaises(AssertionError):
                     rpc.translate_output_properties(output, translate_output_property, typ)
+
+    def test_any(self):
+        output = {
+            "value_dict": {"hello": "world"},
+            "value_list": ["hello"],
+            "value_dict_dict": {"value": {"hello": "world"}},
+            "value_list_list": [["hello"]],
+            "value_str": "hello",
+        }
+        result = rpc.translate_output_properties(output, translate_output_property, OutputTypeWithAny)
+        self.assertIsInstance(result, OutputTypeWithAny)
+        self.assertEqual({"hello": "world"}, result.value_dict)
+        self.assertEqual(["hello"], result.value_list)
+        self.assertEqual({"value": {"hello": "world"}}, result.value_dict_dict)
+        self.assertEqual([["hello"]], result.value_list_list)
+        self.assertEqual("hello", result.value_str)