diff --git a/python-paramiko.changes b/python-paramiko.changes
index 5d25f06..40cace3 100644
--- a/python-paramiko.changes
+++ b/python-paramiko.changes
@@ -1,5 +1,5 @@
 -------------------------------------------------------------------
-Tue Dec 19 06:37:20 UTC 2023 - Steve Kowalik <steven.kowalik@suse.com>
+Wed Dec 20 06:57:15 UTC 2023 - Steve Kowalik <steven.kowalik@suse.com>
 
 - Update to 3.4.0: (CVE-2023-48795, bsc#1218168)
   * Transport grew a new packetizer_class kwarg for overriding the
@@ -28,6 +28,8 @@ Tue Dec 19 06:37:20 UTC 2023 - Steve Kowalik <steven.kowalik@suse.com>
   * Tweak ext-info-(c|s) detection during KEXINIT protocol phase; the
     original implementation made assumptions based on an OpenSSH
     implementation detail.
+- Add patch use-64-bit-maxsize-everywhere.patch:
+  * Use the 64-bit value of sys.maxsize.
 
 -------------------------------------------------------------------
 Fri Sep 29 22:29:46 UTC 2023 - Ondřej Súkup <mimi.vx@gmail.com>
diff --git a/python-paramiko.spec b/python-paramiko.spec
index 52f1ea6..2b398c9 100644
--- a/python-paramiko.spec
+++ b/python-paramiko.spec
@@ -27,6 +27,8 @@ Source0:        https://files.pythonhosted.org/packages/source/p/paramiko/parami
 Patch0:         paramiko-test_extend_timeout.patch
 # PATCH-FIX-OPENSUSE remove-icecream-dep.patch to do not depend on python-icecream and unvendor lexicon
 Patch1:         remove-icecream-dep.patch
+# PATCH-FIX-OPENSUSE use 64-bit value of sys.maxsize to prevent test failure on 32-bit
+Patch2:         use-64-bit-maxsize-everywhere.patch
 BuildRequires:  %{python_module PyNaCl >= 1.0.1}
 BuildRequires:  %{python_module Sphinx}
 BuildRequires:  %{python_module bcrypt >= 3.2}
diff --git a/use-64-bit-maxsize-everywhere.patch b/use-64-bit-maxsize-everywhere.patch
new file mode 100644
index 0000000..3a12475
--- /dev/null
+++ b/use-64-bit-maxsize-everywhere.patch
@@ -0,0 +1,19 @@
+Index: paramiko-3.4.0/tests/test_transport.py
+===================================================================
+--- paramiko-3.4.0.orig/tests/test_transport.py
++++ paramiko-3.4.0/tests/test_transport.py
+@@ -1423,12 +1423,12 @@ class TestStrictKex:
+                 setattr(
+                     self.packetizer,
+                     "_Packetizer__sequence_number_in",
+-                    sys.maxsize,
++                    2**63-1,
+                 )
+                 setattr(
+                     self.packetizer,
+                     "_Packetizer__sequence_number_out",
+-                    sys.maxsize,
++                    2**63-1,
+                 )
+ 
+         with raises(