diff --git a/CHANGELOG.rst b/CHANGELOG.rst
index 742b50f..5d2c128 100644
--- a/CHANGELOG.rst
+++ b/CHANGELOG.rst
@@ -7,6 +7,11 @@ Changelog
 .. This document is user facing. Please word the changes in such a way
 .. that users understand how the changes affect the new version.
 
+version 0.5.0-dev
+-----------------
++ Fix a bug where READ and WRITE in zlib_ng.gzip_ng were inconsistent with the
+  values in gzip on Python 3.13
+
 version 0.4.3
 -----------------
 + Fix a bug where files larger than 4GB could not be decompressed.
diff --git a/src/zlib_ng/gzip_ng.py b/src/zlib_ng/gzip_ng.py
index 33db4be..24b5512 100644
--- a/src/zlib_ng/gzip_ng.py
+++ b/src/zlib_ng/gzip_ng.py
@@ -41,7 +41,7 @@
 READ_BUFFER_SIZE = 512 * 1024
 
 FTEXT, FHCRC, FEXTRA, FNAME, FCOMMENT = 1, 2, 4, 8, 16
-READ, WRITE = 1, 2
+READ, WRITE = gzip.READ, gzip.WRITE
 
 BadGzipFile = gzip.BadGzipFile  # type: ignore