diff --git a/README.rst b/README.rst
index 25f25c4d0..04836a295 100644
--- a/README.rst
+++ b/README.rst
@@ -28,7 +28,7 @@ Coverage.py runs on these versions of Python:
 
 .. PYVERSIONS
 
-* CPython 3.8 through 3.12.0b4
+* CPython 3.8 through 3.12.0rc1
 * PyPy3 versions 3.8 through 3.10.
 
 Documentation is on `Read the Docs`_.  Code repository and issue tracker are on
diff --git a/doc/index.rst b/doc/index.rst
index 34cded801..376ef4588 100644
--- a/doc/index.rst
+++ b/doc/index.rst
@@ -16,11 +16,11 @@ not.
 The latest version is coverage.py |release|, released |release_date|.  It is
 supported on:
 
-* Python versions 3.8 through 3.12.0b4.
-* PyPy3 versions 3.8 through 3.10.
-
 .. PYVERSIONS
 
+* Python versions 3.8 through 3.12.0rc1.
+* PyPy3 versions 3.8 through 3.10.
+
 .. ifconfig:: prerelease
 
     **This is a pre-release build.  The usual warnings about possible bugs