diff --git a/test/zdtm/static/cgroup00.desc b/test/zdtm/static/cgroup00.desc
index 3c6c4a7e2..42a3f2b73 100644
--- a/test/zdtm/static/cgroup00.desc
+++ b/test/zdtm/static/cgroup00.desc
@@ -1 +1 @@
-{'flavor': 'h', 'flags': 'suid', 'opts': '--manage-cgroups'}
+{'flavor': 'h', 'flags': 'suid excl', 'opts': '--manage-cgroups'}
diff --git a/test/zdtm/static/cgroup01.desc b/test/zdtm/static/cgroup01.desc
index 3c6c4a7e2..42a3f2b73 100644
--- a/test/zdtm/static/cgroup01.desc
+++ b/test/zdtm/static/cgroup01.desc
@@ -1 +1 @@
-{'flavor': 'h', 'flags': 'suid', 'opts': '--manage-cgroups'}
+{'flavor': 'h', 'flags': 'suid excl', 'opts': '--manage-cgroups'}
diff --git a/test/zdtm/static/cgroup02.desc b/test/zdtm/static/cgroup02.desc
index df17a5789..eb5a9dd37 100644
--- a/test/zdtm/static/cgroup02.desc
+++ b/test/zdtm/static/cgroup02.desc
@@ -1,4 +1,4 @@
 {   'dopts': '--manage-cgroups --cgroup-root name=zdtmtst:/prefix',
-    'flags': 'suid',
+    'flags': 'suid excl',
     'flavor': 'h',
     'ropts': '--manage-cgroups --cgroup-root /newroot --cgroup-root name=zdtmtst:/prefix'}
diff --git a/test/zdtm/static/cgroup_threads.desc b/test/zdtm/static/cgroup_threads.desc
index 3c6c4a7e2..42a3f2b73 100644
--- a/test/zdtm/static/cgroup_threads.desc
+++ b/test/zdtm/static/cgroup_threads.desc
@@ -1 +1 @@
-{'flavor': 'h', 'flags': 'suid', 'opts': '--manage-cgroups'}
+{'flavor': 'h', 'flags': 'suid excl', 'opts': '--manage-cgroups'}
diff --git a/test/zdtm/static/cgroup_yard.desc b/test/zdtm/static/cgroup_yard.desc
index 8736d6780..9ad4a9b57 100644
--- a/test/zdtm/static/cgroup_yard.desc
+++ b/test/zdtm/static/cgroup_yard.desc
@@ -1,6 +1,6 @@
 {
 'flavor': 'h',
-'flags': 'suid',
+'flags': 'suid excl',
 # We create the external cgroup yard in working directory during --pre-dump
 # hook. We have to go up a few directories to find the yard.
 'opts': '--manage-cgroups --cgroup-yard ../../../../../../external_yard'
diff --git a/test/zdtm/static/cgroupns.desc b/test/zdtm/static/cgroupns.desc
index 80dd710e1..dc61e36cf 100644
--- a/test/zdtm/static/cgroupns.desc
+++ b/test/zdtm/static/cgroupns.desc
@@ -1,4 +1,4 @@
 {   'feature': 'cgroupns',
-    'flags': 'suid',
+    'flags': 'suid excl',
     'flavor': 'h',
     'opts': '--manage-cgroups'}
diff --git a/test/zdtm/static/cgroupv2_00.desc b/test/zdtm/static/cgroupv2_00.desc
index 4bfd4b265..e70c84df8 100644
--- a/test/zdtm/static/cgroupv2_00.desc
+++ b/test/zdtm/static/cgroupv2_00.desc
@@ -1 +1 @@
-{'flavor': 'h ns', 'flags': 'suid', 'opts': '--manage-cgroups=full'}
+{'flavor': 'h ns', 'flags': 'suid excl', 'opts': '--manage-cgroups=full'}
diff --git a/test/zdtm/static/cgroupv2_01.desc b/test/zdtm/static/cgroupv2_01.desc
index 4bfd4b265..e70c84df8 100644
--- a/test/zdtm/static/cgroupv2_01.desc
+++ b/test/zdtm/static/cgroupv2_01.desc
@@ -1 +1 @@
-{'flavor': 'h ns', 'flags': 'suid', 'opts': '--manage-cgroups=full'}
+{'flavor': 'h ns', 'flags': 'suid excl', 'opts': '--manage-cgroups=full'}