diff --git a/src/itsdangerous/timed.py b/src/itsdangerous/timed.py
index fd9257a..96820ab 100644
--- a/src/itsdangerous/timed.py
+++ b/src/itsdangerous/timed.py
@@ -126,7 +126,7 @@ def unsign(
             if ts_int is not None:
                 try:
                     ts_dt = self.timestamp_to_datetime(ts_int)
-                except (ValueError, OSError) as exc:
+                except (OverflowError, ValueError, OSError) as exc:
                     # Windows raises OSError
                     raise BadTimeSignature(
                         "Malformed timestamp", payload=value