diff --git a/lib/channel.js b/lib/channel.js
index 977ea386..5e3e7aee 100644
--- a/lib/channel.js
+++ b/lib/channel.js
@@ -158,6 +158,7 @@ function bandbool (boolOp) {
 
 /**
  * Decorate the Sharp prototype with channel-related functions.
+ * @module Sharp
  * @private
  */
 module.exports = function (Sharp) {
diff --git a/lib/colour.js b/lib/colour.js
index 9962fb57..305f7253 100644
--- a/lib/colour.js
+++ b/lib/colour.js
@@ -159,6 +159,7 @@ function _setBackgroundColourOption (key, value) {
 
 /**
  * Decorate the Sharp prototype with colour-related functions.
+ * @module Sharp
  * @private
  */
 module.exports = function (Sharp) {
diff --git a/lib/composite.js b/lib/composite.js
index 28e83788..892c6298 100644
--- a/lib/composite.js
+++ b/lib/composite.js
@@ -202,6 +202,7 @@ function composite (images) {
 
 /**
  * Decorate the Sharp prototype with composite-related functions.
+ * @module Sharp
  * @private
  */
 module.exports = function (Sharp) {
diff --git a/lib/constructor.js b/lib/constructor.js
index 3150d1ef..73e90a67 100644
--- a/lib/constructor.js
+++ b/lib/constructor.js
@@ -449,6 +449,7 @@ Object.assign(Sharp.prototype, { clone });
 
 /**
  * Export constructor.
+ * @module Sharp
  * @private
  */
 module.exports = Sharp;
diff --git a/lib/input.js b/lib/input.js
index 9e06fafe..e2a494cb 100644
--- a/lib/input.js
+++ b/lib/input.js
@@ -643,6 +643,7 @@ function stats (callback) {
 
 /**
  * Decorate the Sharp prototype with input-related functions.
+ * @module Sharp
  * @private
  */
 module.exports = function (Sharp) {
diff --git a/lib/operation.js b/lib/operation.js
index c47fbadf..6135f37c 100644
--- a/lib/operation.js
+++ b/lib/operation.js
@@ -930,6 +930,7 @@ function modulate (options) {
 
 /**
  * Decorate the Sharp prototype with operation-related functions.
+ * @module Sharp
  * @private
  */
 module.exports = function (Sharp) {
diff --git a/lib/output.js b/lib/output.js
index 137932cc..bd3a94cf 100644
--- a/lib/output.js
+++ b/lib/output.js
@@ -1551,6 +1551,7 @@ function _pipeline (callback, stack) {
 
 /**
  * Decorate the Sharp prototype with output-related functions.
+ * @module Sharp
  * @private
  */
 module.exports = function (Sharp) {
diff --git a/lib/resize.js b/lib/resize.js
index e31f8527..8fc6c58a 100644
--- a/lib/resize.js
+++ b/lib/resize.js
@@ -569,6 +569,7 @@ function trim (options) {
 
 /**
  * Decorate the Sharp prototype with resize-related functions.
+ * @module Sharp
  * @private
  */
 module.exports = function (Sharp) {
diff --git a/lib/utility.js b/lib/utility.js
index 89ee9dfd..3c7286fb 100644
--- a/lib/utility.js
+++ b/lib/utility.js
@@ -280,6 +280,7 @@ function unblock (options) {
 
 /**
  * Decorate the Sharp class with utility-related functions.
+ * @module Sharp
  * @private
  */
 module.exports = function (Sharp) {
diff --git a/package.json b/package.json
index 5893a5a2..fa8feb9a 100644
--- a/package.json
+++ b/package.json
@@ -170,13 +170,12 @@
     "@img/sharp-libvips-win32-ia32": "1.0.4",
     "@img/sharp-libvips-win32-x64": "1.0.4",
     "@types/node": "*",
-    "async": "^3.2.5",
     "cc": "^3.0.1",
     "emnapi": "^1.2.0",
     "exif-reader": "^2.0.1",
     "extract-zip": "^2.0.1",
     "icc": "^3.0.0",
-    "jsdoc-to-markdown": "^8.0.3",
+    "jsdoc-to-markdown": "^9.0.0",
     "license-checker": "^25.0.1",
     "mocha": "^10.7.3",
     "node-addon-api": "^8.1.0",
@@ -184,7 +183,7 @@
     "prebuild": "^13.0.1",
     "semistandard": "^17.0.0",
     "tar-fs": "^3.0.6",
-    "tsd": "^0.31.1"
+    "tsd": "^0.31.2"
   },
   "license": "Apache-2.0",
   "engines": {
diff --git a/test/unit/tile.js b/test/unit/tile.js
index 8ff2eacc..d1b3d831 100644
--- a/test/unit/tile.js
+++ b/test/unit/tile.js
@@ -7,7 +7,6 @@ const fs = require('fs');
 const path = require('path');
 const assert = require('assert');
 
-const eachLimit = require('async/eachLimit');
 const extractZip = require('extract-zip');
 
 const sharp = require('../../');
@@ -31,11 +30,10 @@ const assertDeepZoomTiles = function (directory, expectedSize, expectedLevels, d
     });
   });
   // Verify each tile is <= expectedSize
-  eachLimit(tiles, 8, function (tile, done) {
-    sharp(tile).metadata(function (err, metadata) {
-      if (err) {
-        done(err);
-      } else {
+  Promise.all(tiles.map(function (tile) {
+    return sharp(tile)
+      .metadata()
+      .then(function (metadata) {
         assert.strictEqual('jpeg', metadata.format);
         assert.strictEqual('srgb', metadata.space);
         assert.strictEqual(3, metadata.channels);
@@ -43,10 +41,10 @@ const assertDeepZoomTiles = function (directory, expectedSize, expectedLevels, d
         assert.strictEqual(false, metadata.hasAlpha);
         assert.strictEqual(true, metadata.width <= expectedSize);
         assert.strictEqual(true, metadata.height <= expectedSize);
-        done();
-      }
-    });
-  }, done);
+      });
+  }))
+    .then(() => done())
+    .catch(done);
 };
 
 const assertZoomifyTiles = function (directory, expectedTileSize, expectedLevels, done) {