diff --git a/racket/syndicate/actor.rkt b/racket/syndicate/actor.rkt
index c153940..92f5409 100644
--- a/racket/syndicate/actor.rkt
+++ b/racket/syndicate/actor.rkt
@@ -990,7 +990,9 @@
                        (lookup-facet fid)
                        (patch (actor-state-knowledge (current-actor-state)) trie-empty)
                        #t)
-  (when (and (facet-live? fid) (pair? parent-fid) (not (facet-live? parent-fid)))
+  (when (and (facet-live? fid)
+             (or (and (pair? parent-fid) (not (facet-live? parent-fid)))
+                 (hash-empty? (facet-endpoints (lookup-facet fid)))))
     (terminate-facet! fid)))
 
 ;; If the named facet is live, terminate it.
diff --git a/racket/syndicate/examples/actor/vacuous-facet.rkt b/racket/syndicate/examples/actor/vacuous-facet.rkt
new file mode 100644
index 0000000..41767ad
--- /dev/null
+++ b/racket/syndicate/examples/actor/vacuous-facet.rkt
@@ -0,0 +1,11 @@
+#lang syndicate/actor
+;; Demonstrates that facets with no endpoints don't outlive their `add-facet!` call.
+
+;; This actor will have two facets briefly, before dropping to one:
+(spawn (on-start (react (on-start (printf "Hi 1!\n"))
+                        (on-stop (printf "Bye 1!\n"))))
+       (assert 'x))
+
+;; This actor will have one facet briefly, before dropping to zero and terminating:
+(spawn (on-start (printf "Hi 2!\n"))
+       (on-stop (printf "Bye 2!\n")))