diff --git a/src/client/generic_consumer_exporter.ml b/src/client/generic_consumer_exporter.ml
index da97a988..178864dd 100644
--- a/src/client/generic_consumer_exporter.ml
+++ b/src/client/generic_consumer_exporter.ml
@@ -104,7 +104,9 @@ end = struct
       }
     in
 
-    (* if [exporter] turns off, shut us down too *)
+    (* if [exporter] turns off, shut us down too. Note that [shutdown]
+       is idempotent so it won't lead to divergence when it shuts the
+       exporter down. *)
     Aswitch.on_turn_off (OTEL.Exporter.active exporter) (fun () ->
         shutdown self);