diff --git a/datefinder/__init__.py b/datefinder/__init__.py
index 5b1b2bc..c88ffef 100644
--- a/datefinder/__init__.py
+++ b/datefinder/__init__.py
@@ -100,7 +100,7 @@ def parse_date_string(self, date_string, captures):
         # otherwise self._find_and_replace method might corrupt them
         try:
             as_dt = parser.parse(date_string, default=self.base_date)
-        except ValueError:
+        except (ValueError, OverflowError):
             # replace tokens that are problematic for dateutil
             date_string, tz_string = self._find_and_replace(date_string, captures)