diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 5400a73..d3161c0 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -13,7 +13,7 @@ jobs:
     runs-on: ubuntu-latest
     strategy:
       matrix:
-        python-version: ['3.7', '3.8', '3.9']
+        python-version: ['3.7', '3.8', '3.9', '3.10', '3.11']
     steps:
     - uses: actions/checkout@v2
     - uses: actions/setup-python@v2
diff --git a/scanpydoc/elegant_typehints/formatting.py b/scanpydoc/elegant_typehints/formatting.py
index 2e3f169..a7d239d 100644
--- a/scanpydoc/elegant_typehints/formatting.py
+++ b/scanpydoc/elegant_typehints/formatting.py
@@ -34,7 +34,10 @@ def _format_full(annotation: Type[Any], config: Config) -> Optional[str]:
 
     # Only if this is a real class we override sphinx_autodoc_typehints
     if inspect.isclass(annotation) or inspect.isclass(origin):
-        full_name = f"{annotation.__module__}.{annotation.__qualname__}"
+        try:
+            full_name = f"{annotation.__module__}.{annotation.__qualname__}"
+        except AttributeError:
+            full_name = f"{origin.__module__}.{origin.__qualname__}"
         override = elegant_typehints.qualname_overrides.get(full_name)
         role = "exc" if issubclass(annotation_cls, BaseException) else "class"
         if override is not None:
diff --git a/tests/test_elegant_typehints.py b/tests/test_elegant_typehints.py
index ae388f6..ab8cbb6 100644
--- a/tests/test_elegant_typehints.py
+++ b/tests/test_elegant_typehints.py
@@ -150,6 +150,13 @@ def test_literal(app):
     assert _format_full(Literal["str", 1, None], app.config) is None
 
 
+@pytest.mark.skipif(sys.version_info < (3, 10), reason="Syntax only available on 3.10+")
+def test_syntax_vs_typing(app):
+    u = eval("int | str")
+    assert _format_terse(u, app.config) == ":py:class:`int` | :py:class:`str`"
+    assert _format_full(u, app.config) is None  # this used to crash
+
+
 def test_qualname_overrides_class(app, _testmod):
     assert _testmod.Class.__module__ == "_testmod"
     assert _format_terse(_testmod.Class, app.config) == ":py:class:`~test.Class`"