diff --git a/src/lxc/lxc_controller.c b/src/lxc/lxc_controller.c
index 8545f29d06e4e71f17a4981d442bfad5ef51c6cf..2b5c9dacee7de31c7c78ffbd2a20519697e328dd 100644
--- a/src/lxc/lxc_controller.c
+++ b/src/lxc/lxc_controller.c
@@ -742,16 +742,26 @@ static int virLXCControllerSetupResourceLimits(virLXCControllerPtr ctrl)
     virBitmapPtr nodeset = NULL;
     virDomainNumatuneMemMode mode;
 
-    VIR_DEBUG("Setting up process resource limits");
+    mode = virDomainNumatuneGetMode(ctrl->def->numa, -1);
 
-    if (virLXCControllerGetNumadAdvice(ctrl, &auto_nodeset) < 0)
-        goto cleanup;
+    if (mode == VIR_DOMAIN_NUMATUNE_MEM_STRICT &&
+        virCgroupControllerAvailable(VIR_CGROUP_CONTROLLER_CPUSET)) {
+        /* Use virNuma* API iff necessary. Once set and child is exec()-ed,
+         * there's no way for us to change it. Rely on cgroups (if available
+         * and enabled in the config) rather then virNuma*. */
+        VIR_DEBUG("Relying on CGroups for memory binding");
+    } else {
 
-    nodeset = virDomainNumatuneGetNodeset(ctrl->def->numa, auto_nodeset, -1);
-    mode = virDomainNumatuneGetMode(ctrl->def->numa, -1);
+        VIR_DEBUG("Setting up process resource limits");
 
-    if (virNumaSetupMemoryPolicy(mode, nodeset) < 0)
-        goto cleanup;
+        if (virLXCControllerGetNumadAdvice(ctrl, &auto_nodeset) < 0)
+            goto cleanup;
+
+        nodeset = virDomainNumatuneGetNodeset(ctrl->def->numa, auto_nodeset, -1);
+
+        if (virNumaSetupMemoryPolicy(mode, nodeset) < 0)
+            goto cleanup;
+    }
 
     if (virLXCControllerSetupCpuAffinity(ctrl) < 0)
         goto cleanup;