WHATS_NEW              |  1 +
 tools/lvconvert.c      |  4 ++--
 tools/lvconvert_poll.c | 13 +++++++++----
 3 files changed, 12 insertions(+), 6 deletions(-)

diff --git a/WHATS_NEW b/WHATS_NEW
index 9ddecbc..5260321 100644
--- a/WHATS_NEW
+++ b/WHATS_NEW
@@ -1,5 +1,6 @@
 Version 2.02.131 - 
 =====================================
+  Swapping of LV identifiers handles more complex LVs.
   Fix VG metadata comparison failure while scanning the VG for lvmetad.
   Ignore persistent cache if configuration changed. (2.02.127)
 
diff --git a/tools/lvconvert.c b/tools/lvconvert.c
index 2bffb07..919537a 100644
--- a/tools/lvconvert.c
+++ b/tools/lvconvert.c
@@ -2489,14 +2489,14 @@ deactivate_pmslv:
 	if (!detach_pool_metadata_lv(first_seg(pool_lv), &mlv))
 		return_0;
 
+	/* Swap _pmspare and _tmeta name */
 	if (!swap_lv_identifiers(cmd, mlv, pmslv))
 		return_0;
 
-	/* Used _pmspare will become _tmeta */
 	if (!attach_pool_metadata_lv(first_seg(pool_lv), pmslv))
 		return_0;
 
-	/* Used _tmeta will become visible  _meta%d */
+	/* Used _tmeta (now _pmspare) becomes _meta%d */
 	if (!lv_rename_update(cmd, mlv, pms_path, 0))
 		return_0;
 
diff --git a/tools/lvconvert_poll.c b/tools/lvconvert_poll.c
index e3a3709..1b230bc 100644
--- a/tools/lvconvert_poll.c
+++ b/tools/lvconvert_poll.c
@@ -44,15 +44,20 @@ int swap_lv_identifiers(struct cmd_context *cmd,
 			struct logical_volume *a, struct logical_volume *b)
 {
 	union lvid lvid;
-	const char *name;
+	const char *aname = a->name, *bname = b->name;
 
 	lvid = a->lvid;
 	a->lvid = b->lvid;
 	b->lvid = lvid;
 
-	name = a->name;
-	a->name = b->name;
-	if (!lv_rename_update(cmd, b, name, 0))
+	/* rename temporarily to 'unused' name */
+	if (!lv_rename_update(cmd, a, "pmove_tmeta", 0))
+		return_0;
+	/* name rename 'b' to unused name of 'a' */
+	if (!lv_rename_update(cmd, b, aname, 0))
+		return_0;
+	/* finish name swapping */
+	if (!lv_rename_update(cmd, a, bname, 0))
 		return_0;
 
 	return 1;