diff --git a/tests/test-runner/bin/zts-report.py b/tests/test-runner/bin/zts-report.py
index 6d5c2b0d84..9502956017 100755
--- a/tests/test-runner/bin/zts-report.py
+++ b/tests/test-runner/bin/zts-report.py
@@ -214,8 +214,6 @@ maybe = {
     'cli_root/zdb/zdb_006_pos': ['FAIL', known_reason],
     'cli_root/zfs_get/zfs_get_004_pos': ['FAIL', known_reason],
     'cli_root/zfs_get/zfs_get_009_pos': ['SKIP', '5479'],
-    'cli_root/zfs_rename/zfs_rename_006_pos': ['FAIL', '5647'],
-    'cli_root/zfs_rename/zfs_rename_009_neg': ['FAIL', '5648'],
     'cli_root/zfs_rollback/zfs_rollback_001_pos': ['FAIL', '6415'],
     'cli_root/zfs_rollback/zfs_rollback_002_pos': ['FAIL', '6416'],
     'cli_root/zfs_share/setup': ['SKIP', share_reason],
diff --git a/tests/zfs-tests/tests/functional/cli_root/zfs_rename/zfs_rename_006_pos.ksh b/tests/zfs-tests/tests/functional/cli_root/zfs_rename/zfs_rename_006_pos.ksh
index a7cba349f1..3ad7d4e805 100755
--- a/tests/zfs-tests/tests/functional/cli_root/zfs_rename/zfs_rename_006_pos.ksh
+++ b/tests/zfs-tests/tests/functional/cli_root/zfs_rename/zfs_rename_006_pos.ksh
@@ -69,6 +69,7 @@ rename_dataset ${vol}-new $vol
 
 clone=$TESTPOOL/${snap}_clone
 create_clone $vol@$snap $clone
+block_device_wait
 
 #verify data integrity
 for input in $VOL_R_PATH $ZVOL_RDEVDIR/$clone; do
diff --git a/tests/zfs-tests/tests/functional/cli_root/zfs_rename/zfs_rename_009_neg.ksh b/tests/zfs-tests/tests/functional/cli_root/zfs_rename/zfs_rename_009_neg.ksh
index 1bdaebdb03..7e8119766b 100755
--- a/tests/zfs-tests/tests/functional/cli_root/zfs_rename/zfs_rename_009_neg.ksh
+++ b/tests/zfs-tests/tests/functional/cli_root/zfs_rename/zfs_rename_009_neg.ksh
@@ -33,13 +33,13 @@
 
 #
 # DESCRIPTION:
-#	A snapshot already exists with the new name, then none of the
-#	snapshots is renamed.
+#	When renaming a set of snapshots, if a snapshot already exists with
+#	the new name, then none of the snapshots is renamed.
 #
 # STRATEGY:
-#	1. Create snapshot for a set of datasets.
+#	1. Create a snapshot for a set of datasets.
 #	2. Create a new snapshot for one of datasets.
-#	3. Using rename -r command with exists snapshot name.
+#	3. Attempt to "zfs rename -r" with the second snapshot's name.
 #	4. Verify none of the snapshots is renamed.
 #
 
@@ -54,7 +54,7 @@ function cleanup
 	done
 }
 
-log_assert "zfs rename -r failed, when snapshot name is already existing."
+log_assert "Verify zfs rename -r failed when the snapshot name already exists."
 log_onexit cleanup
 
 set -A datasets $TESTPOOL		$TESTPOOL/$TESTCTR \
@@ -71,7 +71,7 @@ while ((i < ${#datasets[@]})); do
 	log_mustnot zfs rename -r ${TESTPOOL}@snap ${TESTPOOL}@snap2
 	log_must zfs destroy ${datasets[$i]}@snap2
 
-	# Check datasets, make sure none of them was renamed.
+	# Check datasets, make sure none of them have snap2.
 	typeset -i j=0
 	while ((j < ${#datasets[@]})); do
 		if datasetexists ${datasets[$j]}@snap2 ; then
@@ -83,4 +83,4 @@ while ((i < ${#datasets[@]})); do
 	((i += 1))
 done
 
-log_pass "zfs rename -r failed, when snapshot name is already existing passed."
+log_pass "zfs rename -r failed when the snapshot name already exists."