diff --git a/collects/tests/typed-racket/fail/promise-any.rkt b/collects/tests/typed-racket/fail/promise-any.rkt
new file mode 100644
index 0000000000..1c9be644cd
--- /dev/null
+++ b/collects/tests/typed-racket/fail/promise-any.rkt
@@ -0,0 +1,14 @@
+#;
+(exn-pred exn:fail:contract?)
+#lang racket
+
+(module typed typed/racket
+  (: d Any)
+  (define d (delay (lambda: ([x : Integer]) (+ x 1))))
+  (provide d))
+
+(require 'typed)
+
+;; this line should raise a ctc error
+((force d) 6)
+
diff --git a/collects/tests/typed-racket/succeed/pr13326.rkt b/collects/tests/typed-racket/succeed/pr13326.rkt
new file mode 100644
index 0000000000..9a8ee99c0c
--- /dev/null
+++ b/collects/tests/typed-racket/succeed/pr13326.rkt
@@ -0,0 +1,19 @@
+#lang racket
+
+(require rackunit)
+
+;; the setup here is just to make it play nice with Rackunit
+(check-not-exn
+ (λ ()
+  (parameterize ([current-error-port (open-output-nowhere)])
+    (eval
+     (quote
+      (begin
+        ;; This is the actual test case
+        (module typed typed/racket
+          (require typed/rackunit)
+
+          ;; Any wrappings should be okay here
+          (check-equal? (delay 0) (delay 0)))
+        (require 'typed)))
+     (make-base-namespace)))))
diff --git a/collects/typed-racket/utils/any-wrap.rkt b/collects/typed-racket/utils/any-wrap.rkt
index 3ebcd0bea3..62161368f6 100644
--- a/collects/typed-racket/utils/any-wrap.rkt
+++ b/collects/typed-racket/utils/any-wrap.rkt
@@ -1,6 +1,7 @@
 #lang racket/base
 
-(require racket/match racket/contract/base racket/contract/combinator)
+(require racket/match racket/contract/base racket/contract/combinator
+         racket/promise)
 
 (define undef (letrec ([x x]) x))
 
@@ -81,6 +82,10 @@
            (chaperone-procedure v (case-lambda [() (values)]
                                                [_ (fail v)]))
            (chaperone-procedure v (lambda args (fail v))))]
+      [(? promise?)
+       ;; for promises, just apply Any in the promise
+       (contract (promise/c any-wrap/c) v
+                 (blame-positive b) (blame-negative b))]
       [_ (fail v)]))
   t)