diff --git a/collects/web-server/scribblings/ctable.scrbl b/collects/web-server/scribblings/ctable.scrbl
index b8ae95a670..90ba5d35e0 100644
--- a/collects/web-server/scribblings/ctable.scrbl
+++ b/collects/web-server/scribblings/ctable.scrbl
@@ -30,7 +30,7 @@ structures.
 
 @racketblock[
 `((port ,integer?)
-  (max-waiting ,integer?)
+  (max-waiting ,exact-integer?)
   (initial-connection-timeout ,integer?)
   (default-host-table
     ,host-table-sexpr?)
diff --git a/collects/web-server/scribblings/dispatch-server.scrbl b/collects/web-server/scribblings/dispatch-server.scrbl
index 16ffaa7c1c..46dbabfbe6 100644
--- a/collects/web-server/scribblings/dispatch-server.scrbl
+++ b/collects/web-server/scribblings/dispatch-server.scrbl
@@ -42,7 +42,7 @@ The @racket[dispatch-server^] signature is an alias for
 
  @defthing[port tcp-listen-port?]{Specifies the port to serve on.}
  @defthing[listen-ip (or/c string? false/c)]{Passed to @racket[tcp-listen].}
- @defthing[max-waiting integer?]{Passed to @racket[tcp-accept].}
+ @defthing[max-waiting exact-integer?]{Passed to @racket[tcp-listen].}
  @defthing[initial-connection-timeout integer?]{Specifies the initial timeout given to a connection.}
  @defproc[(read-request [c connection?]
                         [p tcp-listen-port?]