diff --git a/pandas/io/json/_json.py b/pandas/io/json/_json.py
index 4af362d8343f2..b04e540ef81eb 100644
--- a/pandas/io/json/_json.py
+++ b/pandas/io/json/_json.py
@@ -972,10 +972,8 @@ def _try_convert_to_date(self, data):
         for date_unit in date_units:
             try:
                 new_data = to_datetime(new_data, errors="raise", unit=date_unit)
-            except ValueError:
+            except (ValueError, OverflowError):
                 continue
-            except Exception:
-                break
             return new_data, True
         return data, False