diff --git a/src/griffe/agents/inspector.py b/src/griffe/agents/inspector.py
index e60d51e9..d60bb278 100644
--- a/src/griffe/agents/inspector.py
+++ b/src/griffe/agents/inspector.py
@@ -330,7 +330,7 @@ def handle_function(self, node: ObjectNode, labels: set | None = None):  # noqa:
         """
         try:
             signature = getsignature(node.obj)
-        except (ValueError, TokenError, TypeError):
+        except (AttributeError, ValueError, TokenError, TypeError):
             parameters = None
             returns = None
         else: