diff --git a/test/verify/check-client b/test/verify/check-client
index d4b1eb001432..d0c9c1f490c4 100755
--- a/test/verify/check-client
+++ b/test/verify/check-client
@@ -20,8 +20,8 @@
 import testlib
 
 
-# Run this on more OSes as we roll out the pybridge
-@testlib.onlyImage("needs pybridge", "debian-testing", "ubuntu-stable")
+@testlib.skipImage("needs pybridge", "debian-stable", "ubuntu-2204", "fedora-37", "fedora-coreos",
+                   "rhel-8*", "centos-8*", "rhel-9*", "centos-9*", "rhel4edge")
 class TestClient(testlib.MachineCase):
 
     provision = {
diff --git a/tools/cockpit.spec b/tools/cockpit.spec
index 4a611179e99c..9090ab8039af 100644
--- a/tools/cockpit.spec
+++ b/tools/cockpit.spec
@@ -53,8 +53,7 @@ Version:        0
 Release:        1%{?dist}
 Source0:        https://github.com/cockpit-project/cockpit/releases/download/%{version}/cockpit-%{version}.tar.xz
 
-# Use Python bridge on non-stable versions
-%if 0%{?fedora} >= 39
+%if 0%{?fedora} >= 38
 %define cockpit_enable_python 1
 %endif