diff --git a/Makefile b/Makefile
index a6942ff56c..01f17ee9cf 100644
--- a/Makefile
+++ b/Makefile
@@ -196,8 +196,9 @@ create-updates.img: bots
 
 # test runs in kernel_t context and triggers massive amounts of SELinux
 # denials; SELinux gets disabled, but would still trigger unexpected messages
+# we create huge VMs, so we need to reduce parallelism on CI
 integration-test: prepare-test-deps test/reference $(UPDATES_IMG)
-	TEST_AUDIT_NO_SELINUX=1 test/common/run-tests
+	J=$$((TEST_JOBS/4)); [ $$J -ge 1 ] || J=1; TEST_AUDIT_NO_SELINUX=1 test/common/run-tests --jobs $$J
 
 test/reference: test/common
 	test/common/pixel-tests pull
diff --git a/src/components/storage/ModifyStorage.jsx b/src/components/storage/ModifyStorage.jsx
index 229af6a9be..0626a9c69f 100644
--- a/src/components/storage/ModifyStorage.jsx
+++ b/src/components/storage/ModifyStorage.jsx
@@ -33,6 +33,11 @@ export const ModifyStorage = ({ idPrefix, onCritFail, onRescan, setShowStorage,
     const targetSystemRoot = useContext(TargetSystemRootContext);
     const mountPointConstraints = useMountPointConstraints();
     const isEfi = mountPointConstraints?.some(c => c["required-filesystem-type"]?.v === "efi");
+    const cockpitAnaconda = JSON.stringify({
+        mount_point_prefix: targetSystemRoot,
+        available_devices: selectedDevices,
+        efi: isEfi,
+    });
 
     return (
         <>
@@ -41,13 +46,9 @@ export const ModifyStorage = ({ idPrefix, onCritFail, onRescan, setShowStorage,
               variant="link"
               icon={<WrenchIcon />}
               onClick={() => {
-                  window.localStorage.setItem("cockpit_anaconda",
-                                              JSON.stringify({
-                                                  mount_point_prefix: targetSystemRoot,
-                                                  available_devices: selectedDevices,
-                                                  efi: isEfi,
-                                              })
-                  );
+                  window.sessionStorage.setItem("cockpit_anaconda", cockpitAnaconda);
+                  // FIXME: Remove when cockpit-storaged 311 is available in Rawhide
+                  window.localStorage.setItem("cockpit_anaconda", cockpitAnaconda);
                   setShowStorage(true);
               }}
             >
diff --git a/test/vm.install b/test/vm.install
index 5bd9e05d43..cb31e81f4d 100755
--- a/test/vm.install
+++ b/test/vm.install
@@ -49,7 +49,9 @@ def vm_install(image, verbose, quick):
             # cockpit-storaged is also available in the default rawhide compose, make sure we don't pull it from there
             download_from_copr(f"packit/cockpit-project-cockpit-{cockpit_pr}", "cockpit-storaged", machine)
         else:
-            packages_to_download += " cockpit-storaged"
+            # FIXME: Download cockpit-storaged from custom COPR
+            # till https://github.com/cockpit-project/cockpit/pull/19924#event-11785480839 is released
+            download_from_copr("@cockpit/main-builds", "cockpit-storaged", machine)
 
         # Build anaconda-webui from SRPM unless we are testing a anaconda-webui PR scenario
         # from a different repo, then pull it from the anaconda-webui PR COPR repo