diff --git a/block/stream.c b/block/stream.c
index 3acb59fe6a..694709bd25 100644
--- a/block/stream.c
+++ b/block/stream.c
@@ -64,7 +64,13 @@ static int stream_prepare(Job *job)
     bdrv_cor_filter_drop(s->cor_filter_bs);
     s->cor_filter_bs = NULL;
 
+    bdrv_subtree_drained_begin(s->above_base);
+
     base = bdrv_filter_or_cow_bs(s->above_base);
+    if (base) {
+        bdrv_ref(base);
+    }
+
     unfiltered_base = bdrv_skip_filters(base);
 
     if (bdrv_cow_child(unfiltered_bs)) {
@@ -75,14 +81,21 @@ static int stream_prepare(Job *job)
                 base_fmt = unfiltered_base->drv->format_name;
             }
         }
+
         bdrv_set_backing_hd(unfiltered_bs, base, &local_err);
         ret = bdrv_change_backing_file(unfiltered_bs, base_id, base_fmt, false);
         if (local_err) {
             error_report_err(local_err);
-            return -EPERM;
+            ret = -EPERM;
+            goto out;
         }
     }
 
+out:
+    if (base) {
+        bdrv_unref(base);
+    }
+    bdrv_subtree_drained_end(s->above_base);
     return ret;
 }
 
diff --git a/tests/qemu-iotests/030 b/tests/qemu-iotests/030
index 567bf1da67..14112835ed 100755
--- a/tests/qemu-iotests/030
+++ b/tests/qemu-iotests/030
@@ -436,6 +436,11 @@ class TestParallelOps(iotests.QMPTestCase):
         self.vm.run_job(job='node4', auto_dismiss=True)
         self.assert_no_active_block_jobs()
 
+        # Assert that node0 is now the backing node of node4
+        result = self.vm.qmp('query-named-block-nodes')
+        node4 = next(node for node in result['return'] if node['node-name'] == 'node4')
+        self.assertEqual(node4['image']['backing-image']['filename'], self.imgs[0])
+
     # Test a block-stream and a block-commit job in parallel
     # Here the stream job is supposed to finish quickly in order to reproduce
     # the scenario that triggers the bug fixed in 3d5d319e1221 and 1a63a907507