diff --git a/fix_test_ssltransport_py311.patch b/fix_test_ssltransport_py311.patch
new file mode 100644
index 0000000..82d7cbf
--- /dev/null
+++ b/fix_test_ssltransport_py311.patch
@@ -0,0 +1,31 @@
+From 00c3895e43305e8fd8394ef74d6466f90afcedb6 Mon Sep 17 00:00:00 2001
+From: Thomas Grainger <tagrain@gmail.com>
+Date: Mon, 24 Apr 2023 19:10:26 +0100
+Subject: [PATCH] Fix test_ssl_object_attributes
+
+Co-authored-by: Seth Michael Larson <sethmichaellarson@gmail.com>
+---
+ test/test_ssltransport.py | 7 +++++--
+ 1 file changed, 5 insertions(+), 2 deletions(-)
+
+diff --git a/test/test_ssltransport.py b/test/test_ssltransport.py
+index f548e06..fd363a2 100644
+--- a/test/test_ssltransport.py
++++ b/test/test_ssltransport.py
+@@ -202,8 +202,11 @@ class SingleTLSLayerTestCase(SocketDummyServerTestCase):
+             assert ssock.selected_npn_protocol() is None
+ 
+             shared_ciphers = ssock.shared_ciphers()
+-            assert type(shared_ciphers) == list
+-            assert len(shared_ciphers) > 0
++            # SSLContext.shared_ciphers() changed behavior completely in a patch version.
++            # See: https://github.com/python/cpython/issues/96931
++            assert shared_ciphers is None or (
++                type(shared_ciphers) is list and len(shared_ciphers) > 0
++            )
+ 
+             assert ssock.compression() is None
+ 
+-- 
+2.46.2
+
diff --git a/python3.11-urllib3.spec b/python3.11-urllib3.spec
index dc71152..91262ff 100644
--- a/python3.11-urllib3.spec
+++ b/python3.11-urllib3.spec
@@ -8,7 +8,7 @@
 
 Name:           python%{python3_pkgversion}-%{srcname}
 Version:        1.26.12
-Release:        3%{?dist}
+Release:        4%{?dist}
 Summary:        Python HTTP library with thread-safe connection pooling and file post
 
 License:        MIT
@@ -32,6 +32,12 @@ Patch1: CVE-2023-43804.patch
 # Upstream fix: https://github.com/urllib3/urllib3/commit/40b6d1605814dd1db0a46e202d6e56f2e4c9a468
 Patch2: CVE-2024-37891.patch
 
+# The implementation of ssl.SSLSocket.shared_ciphers has been fixed
+# in Python 3.11.3 and that requires a fix for the testsuite.
+# Upstream fix: https://github.com/urllib3/urllib3/commit/25cca389496b86ee809c21e5b641aeaa74809263
+# CPython change: https://github.com/python/cpython/issues/96931
+Patch3: fix_test_ssltransport_py311.patch
+
 BuildRequires:  python%{python3_pkgversion}-devel
 BuildRequires:  python%{python3_pkgversion}-rpm-macros
 BuildRequires:  python%{python3_pkgversion}-setuptools
@@ -126,6 +132,10 @@ ln -s %{python3_sitelib}/__pycache__/six.cpython-%{python3_version_nodots}.pyc \
 
 
 %changelog
+* Tue Oct 01 2024 Lumír Balhar <lbalhar@redhat.com> - 1.26.12-4
+- Fix test_ssltransport for changes in ssl.SSLSocket in Python 3.11.3
+Related: RHEL-59991
+
 * Wed Sep 25 2024 Lumír Balhar <lbalhar@redhat.com> - 1.26.12-3
 - Security fix for CVE-2024-37891
 Resolves: RHEL-59991