diff --git a/Lib/zipfile/__init__.py b/Lib/zipfile/__init__.py
index 8f834267b28c2e..e1833dd1772d56 100644
--- a/Lib/zipfile/__init__.py
+++ b/Lib/zipfile/__init__.py
@@ -1202,10 +1202,10 @@ def close(self):
                 if not self._zip64:
                     if self._file_size > ZIP64_LIMIT:
                         raise RuntimeError(
-                            'File size unexpectedly exceeded ZIP64 limit')
+                            'File size too large, try using force_zip64')
                     if self._compress_size > ZIP64_LIMIT:
                         raise RuntimeError(
-                            'Compressed size unexpectedly exceeded ZIP64 limit')
+                            'Compressed size too large, try using force_zip64')
                 # Seek backwards and write file header (which will now include
                 # correct CRC and file sizes)