diff --git a/CHANGES.rst b/CHANGES.rst
index a7425658a..c2bfb3b6e 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -20,7 +20,11 @@ development at the same time, such as 4.5.x and 5.0.
 Unreleased
 ----------
 
-Nothing yet.
+- In Python 3.12 and above, you can try an experimental core based on the new
+  :mod:`sys.monitoring <python:sys.monitoring>` module by defining a
+  ``COVERAGE_CORE=sysmon`` environment variable.  This should be faster, though
+  plugins and dynamic contexts are not yet supported with it.  I am very
+  interested to hear how it works (or doesn't!) for you.
 
 
 .. scriv-start-here
diff --git a/coverage/cmdline.py b/coverage/cmdline.py
index 89019d204..5379c7c5f 100644
--- a/coverage/cmdline.py
+++ b/coverage/cmdline.py
@@ -217,10 +217,7 @@ class Opts:
     )
     timid = optparse.make_option(
         "", "--timid", action="store_true",
-        help=(
-            "Use a simpler but slower trace method. Try this if you get " +
-            "seemingly impossible results!"
-        ),
+        help="Use the slower Python trace function core.",
     )
     title = optparse.make_option(
         "", "--title", action="store", metavar="TITLE",
diff --git a/doc/cmd.rst b/doc/cmd.rst
index f9ffefe1d..2162cc84e 100644
--- a/doc/cmd.rst
+++ b/doc/cmd.rst
@@ -136,15 +136,14 @@ There are many options:
       --source=SRC1,SRC2,...
                             A list of directories or importable names of code to
                             measure.
-      --timid               Use a simpler but slower trace method. Try this if you
-                            get seemingly impossible results!
+      --timid               Use the slower Python trace function core.
       --debug=OPTS          Debug options, separated by commas. [env:
                             COVERAGE_DEBUG]
       -h, --help            Get help on this command.
       --rcfile=RCFILE       Specify configuration file. By default '.coveragerc',
                             'setup.cfg', 'tox.ini', and 'pyproject.toml' are
                             tried. [env: COVERAGE_RCFILE]
-.. [[[end]]] (checksum: 05d15818e42e6f989c42894fb2b3c753)
+.. [[[end]]] (checksum: b1a0fffe2768fc142f1d97ae556b621d)
 
 If you want :ref:`branch coverage <branch>` measurement, use the ``--branch``
 flag.  Otherwise only statement coverage is measured.
@@ -203,6 +202,11 @@ If your coverage results seem to be overlooking code that you know has been
 executed, try running coverage.py again with the ``--timid`` flag.  This uses a
 simpler but slower trace method, and might be needed in rare cases.
 
+In Python 3.12 and above, you can try an experimental core based on the new
+:mod:`sys.monitoring <python:sys.monitoring>` module by defining a
+``COVERAGE_CORE=sysmon`` environment variable.  This should be faster, though
+plugins and dynamic contexts are not yet supported with it.
+
 Coverage.py sets an environment variable, ``COVERAGE_RUN`` to indicate that
 your code is running under coverage measurement.  The value is not relevant,
 and may change in the future.
diff --git a/doc/config.rst b/doc/config.rst
index d9e690032..6e645fc2e 100644
--- a/doc/config.rst
+++ b/doc/config.rst
@@ -477,9 +477,9 @@ ambiguities between packages and directories.
 [run] timid
 ...........
 
-(boolean, default False) Use a simpler but slower trace method.  This uses
-PyTracer instead of CTracer, and is only needed in very unusual circumstances.
-Try this if you get seemingly impossible results.
+(boolean, default False) Use a simpler but slower trace method.  This uses the
+PyTracer trace function core instead of CTracer, and is only needed in very
+unusual circumstances.
 
 
 .. _config_paths:
diff --git a/doc/python-coverage.1.txt b/doc/python-coverage.1.txt
index 9d38f4f73..05e0c6004 100644
--- a/doc/python-coverage.1.txt
+++ b/doc/python-coverage.1.txt
@@ -384,8 +384,7 @@ COMMAND REFERENCE
         A list of packages or directories of code to be measured.
 
     \--timid
-        Use a simpler but slower trace method. Try this if you get
-        seemingly impossible results!
+        Use the slower Python trace function core.
 
 **xml** [ `options` ... ] [ `MODULES` ... ]