diff --git a/tests/integration/test_manylinux.py b/tests/integration/test_manylinux.py
index 5e868611..c8d1fbdc 100644
--- a/tests/integration/test_manylinux.py
+++ b/tests/integration/test_manylinux.py
@@ -63,7 +63,7 @@
     "manylinux_2_5": "devtoolset-2",
     "manylinux_2_12": "devtoolset-8",
     "manylinux_2_17": "devtoolset-10",
-    "manylinux_2_28": "gcc-toolset-13",
+    "manylinux_2_28": "gcc-toolset-14",
     "manylinux_2_34": "gcc-toolset-14",
     "musllinux_1_2": "devtoolset-not-present",
 }
@@ -1020,7 +1020,7 @@ def test_build_wheel_compat(
 
     def test_zlib_blacklist(self, any_manylinux_container, docker_python, io_folder):
         policy, tag, manylinux_ctr = any_manylinux_container
-        if policy.startswith("manylinux_2_17_"):
+        if policy.startswith(("manylinux_2_17_", "manylinux_2_28_", "manylinux_2_34_")):
             pytest.skip(f"{policy} image has no blacklist symbols in libz.so.1")
 
         docker_exec(