diff --git a/stub_uploader/metadata.py b/stub_uploader/metadata.py
index 9084257e..a5cf39b0 100644
--- a/stub_uploader/metadata.py
+++ b/stub_uploader/metadata.py
@@ -5,17 +5,17 @@
 import os
 import re
 import tarfile
+import tempfile
 import urllib.parse
 from collections.abc import Generator, Iterable
 from glob import glob
 from pathlib import Path
-import tempfile
 from typing import Any, Optional
 
 import requests
 import tomli
 from packaging.requirements import Requirement
-from packaging.specifiers import Specifier, InvalidSpecifier
+from packaging.specifiers import InvalidSpecifier, Specifier
 
 from .const import META, THIRD_PARTY_NAMESPACE, TYPES_PREFIX, UPLOADED_PATH
 
@@ -348,11 +348,12 @@ def verify_external_req_stubs_require_its_runtime(
     # broken by new releases of upstream packages, even if they do not match the version spec we
     # have for the upstream distribution.
 
-    runtime_req_name = EXTERNAL_RUNTIME_REQ_MAP.get(req.name, req.name)
-
-    if not runtime_in_upstream_requires(
-        req, data
-    ) and not runtime_in_upstream_sdist_requires(req, data):
+    if not (
+        req.name == upstream_distribution  # Allow `types-foo` to require `foo`
+        or runtime_in_upstream_requires(req, data)
+        or runtime_in_upstream_sdist_requires(req, data)
+    ):
+        runtime_req_name = EXTERNAL_RUNTIME_REQ_MAP.get(req.name, req.name)
         raise InvalidRequires(
             f"Expected dependency {runtime_req_name} to be listed in {upstream_distribution}'s "
             + "requires_dist or the sdist's *.egg-info/requires.txt"
diff --git a/tests/test_integration.py b/tests/test_integration.py
index 3e68a3a7..e0a5a7b7 100644
--- a/tests/test_integration.py
+++ b/tests/test_integration.py
@@ -82,6 +82,8 @@ def test_verify_external_req() -> None:
     verify_external_req(
         Requirement("mypy-extensions"), "mypy", _unsafe_ignore_allowlist=True
     )
+    # Check that types-foo can depend on foo
+    verify_external_req(Requirement("setuptools"), "setuptools")
 
     with pytest.raises(
         InvalidRequires, match="to be present in the stub_uploader allowlist"