diff --git a/doc/examples/tls.rst b/doc/examples/tls.rst
index 4bb852c83e..b0da950a65 100644
--- a/doc/examples/tls.rst
+++ b/doc/examples/tls.rst
@@ -250,18 +250,20 @@ revocation checking failed::
 
 See :ref:`OCSP` for more details.
 
-Python 3.10+ is incompatible with TLS/SSL on MongoDB <= 3.4
-...........................................................
+Python 3.10+ incompatibilities with TLS/SSL on MongoDB <= 4.0
+.............................................................
 
-Note that Python 3.10+ is incompatible with TLS/SSL on MongoDB <= 3.4. The
-following are some example errors that may occur with this combination::
+Note that `changes made to the ssl module in Python 3.10+
+<https://docs.python.org/3/whatsnew/3.10.html#ssl>`_ may cause incompatibilities
+with MongoDB <= 4.0. The following are some example errors that may occur with this
+combination::
 
   SSL handshake failed: localhost:27017: [SSL: SSLV3_ALERT_HANDSHAKE_FAILURE] sslv3 alert handshake failure (_ssl.c:997)
   SSL handshake failed: localhost:27017: EOF occurred in violation of protocol (_ssl.c:997)
 
-The MongoDB server logs will show the following error::
+The MongoDB server logs may show the following error::
 
   2021-06-30T21:22:44.917+0100 E NETWORK  [conn16] SSL: error:1408A0C1:SSL routines:ssl3_get_client_hello:no shared cipher
 
-To resolve this issue, use Python <=3.10, upgrade to MongoDB 3.6+, or install
+To resolve this issue, use Python <=3.10, upgrade to MongoDB 4.2+, or install
 pymongo with the :ref:`OCSP` extra which relies on PyOpenSSL.