diff --git a/CHANGES.rst b/CHANGES.rst
index b5cdfc9..b99dda3 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -3,6 +3,8 @@ Version 2.1.2
 
 Unreleased
 
+-   Handle date overflow in timed unsign on 32-bit systems. :pr:`299`
+
 
 Version 2.1.1
 -------------
diff --git a/src/itsdangerous/timed.py b/src/itsdangerous/timed.py
index fd9257a..cad8da3 100644
--- a/src/itsdangerous/timed.py
+++ b/src/itsdangerous/timed.py
@@ -126,8 +126,9 @@ def unsign(
             if ts_int is not None:
                 try:
                     ts_dt = self.timestamp_to_datetime(ts_int)
-                except (ValueError, OSError) as exc:
+                except (ValueError, OSError, OverflowError) as exc:
                     # Windows raises OSError
+                    # 32-bit raises OverflowError
                     raise BadTimeSignature(
                         "Malformed timestamp", payload=value
                     ) from exc