diff --git a/fix-test-with-openssl-3.5.0.patch b/fix-test-with-openssl-3.5.0.patch
new file mode 100644
index 0000000..c737c4c
--- /dev/null
+++ b/fix-test-with-openssl-3.5.0.patch
@@ -0,0 +1,14 @@
+Index: eventlet-0.39.1/tests/ssl_test.py
+===================================================================
+--- eventlet-0.39.1.orig/tests/ssl_test.py
++++ eventlet-0.39.1/tests/ssl_test.py
+@@ -80,7 +80,8 @@ class SSLTest(tests.LimitedTestCase):
+             sock.recv(8192)
+             try:
+                 self.assertEqual(b'', sock.recv(8192))
+-            except greenio.SSL.ZeroReturnError:
++            except (greenio.SSL.ZeroReturnError,
++                    BrokenPipeError):
+                 pass
+ 
+         sock = listen_ssl_socket()
diff --git a/python-eventlet.changes b/python-eventlet.changes
index 2ad4374..f85ac04 100644
--- a/python-eventlet.changes
+++ b/python-eventlet.changes
@@ -1,3 +1,9 @@
+-------------------------------------------------------------------
+Thu Apr 17 13:33:34 UTC 2025 - Lucas Mulling <lucas.mulling@suse.com>
+
+- Fix broken test with openssl 3.5.0:
+  * Add patch fix-test-with-openssl-3.5.0.patch
+
 -------------------------------------------------------------------
 Mon Apr  7 12:41:45 UTC 2025 - John Paul Adrian Glaubitz <adrian.glaubitz@suse.com>
 
diff --git a/python-eventlet.spec b/python-eventlet.spec
index 288bcde..87c284a 100644
--- a/python-eventlet.spec
+++ b/python-eventlet.spec
@@ -25,6 +25,8 @@ License:        MIT
 Group:          Development/Languages/Python
 URL:            https://eventlet.net
 Source:         https://files.pythonhosted.org/packages/source/e/eventlet/eventlet-%{version}.tar.gz
+# PATCH-FIX-OPENSUSE: fix-test-with-openssl-3.5.0.patch bsc#1241037 -- based on PR 1034
+Patch1:         fix-test-with-openssl-3.5.0.patch
 BuildRequires:  %{python_module hatch-vcs}
 BuildRequires:  %{python_module pip}
 BuildRequires:  %{python_module wheel}