diff --git a/index.bs b/index.bs
index c625067..673f93c 100644
--- a/index.bs
+++ b/index.bs
@@ -266,20 +266,20 @@ The <dfn attribute for=FileSystemHandle>name</dfn> getter steps are to return [=
 The <dfn method for=FileSystemHandle>remove(|options|)</dfn> method steps are:
 
 1. Let |result| be [=a new promise=].
+1. Let |entry| be [=this=]'s [=FileSystemHandle/entry=].
 1. Run these steps [=in parallel=]:
-  1. Let |access| be the result of running [=this=]'s
-     [=FileSystemHandle/entry=]'s [=file system entry/request access=] given
-     "`readwrite`".
-  1. If |access| is not "{{PermissionState/granted}}", reject |result| with a
-     "{{NotAllowedError}}" {{DOMException}} and abort.
+  1. Let |access| be the result of running |entry|'s
+     [=file system entry/request access=] given "`readwrite`".
+  1. If |access| is not "{{PermissionState/granted}}":
+    1. [=Queue a storage task=] given |entry|'s [=relevant global object=] to
+        [=/reject=] |result| with a "{{NotAllowedError}}" {{DOMException}}.
+    1. Abort these steps.
 
-  1. Let |entry| be [=this=]'s [=FileSystemHandle/entry=].
-  1. Let |lockResult| be the result of [=file entry/lock/take|taking a lock=]
-     with "`exclusive`" on |entry|.
-  1. If |lockResult| is false, [=reject=] |result| with a
-     "{{NoModificationAllowedError}}" {{DOMException}} and abort.
+  1. Let |lockResultAlgorithm| be an algorithm which takes a |lockResult| and
+     runs these steps:
+     1. If |lockResult| is "`failure`", [=/reject=] |result| with a
+       "{{NoModificationAllowedError}}" {{DOMException}} and abort.
 
-  1. [=Queue a task=] on the [=storage task source=] to run these steps:
     1. If |entry| does not exist in the underlying file system, [=/reject=]
        |result| with a "{{NotFoundError}}" {{DOMException}} and abort.
 
@@ -307,6 +307,8 @@ The <dfn method for=FileSystemHandle>remove(|options|)</dfn> method steps are:
          Issue(68): Better specify what possible exceptions this could throw.
     1. [=/Resolve=] |result| with `undefined`.
 
+  1. [=file entry/lock/take|Take a lock=] with "`exclusive`" on |entry| and with
+     |lockResultAlgorithm|.
 1. Return |result|.
 
 Issue(39): Better specify what happens to a removed handle.