diff --git a/package.json b/package.json
index 210c5e6a..b5c36045 100644
--- a/package.json
+++ b/package.json
@@ -56,7 +56,7 @@
     "eslint-plugin-jsdoc": "~37.4.0",
     "eslint-plugin-node": "~11.1.0",
     "eslint-plugin-unicorn": "~39.0.0",
-    "globby": "~11.0.4",
+    "globby": "~12.0.2",
     "js-yaml": "~4.1.0",
     "markdown-it-for-inline": "~0.1.1",
     "markdown-it-sub": "~1.0.0",
diff --git a/scripts/index.js b/scripts/index.js
index 0f31207b..de3f9141 100644
--- a/scripts/index.js
+++ b/scripts/index.js
@@ -2,20 +2,27 @@
 
 "use strict";
 
-const fs = require("fs");
-const globby = require("globby");
+const fs = require("fs").promises;
 
 const [ command, ...args ] = process.argv.slice(2);
 
-if (command === "copy") {
-  const [ src, dest ] = args;
-  fs.copyFileSync(src, dest);
-} else if (command === "delete") {
-  for (const arg of args) {
-    for (const file of globby.sync(arg)) {
-      fs.unlinkSync(file);
-    }
+// eslint-disable-next-line unicorn/prefer-top-level-await
+(async() => {
+  if (command === "copy") {
+    const [ src, dest ] = args;
+    await fs.copyFile(src, dest);
+  } else if (command === "delete") {
+    // eslint-disable-next-line node/no-unsupported-features/es-syntax
+    const { globby } = await import("globby");
+    await Promise.all(
+      args.flatMap(
+        (glob) => globby(glob)
+          .then(
+            (files) => files.map((file) => fs.unlink(file))
+          )
+      )
+    );
+  } else {
+    throw new Error(`Unsupported command: ${command}`);
   }
-} else {
-  throw new Error(`Unsupported command: ${command}`);
-}
+})();
diff --git a/test/markdownlint-test-extra-parse.js b/test/markdownlint-test-extra-parse.js
index 9f88e10f..7c96500d 100644
--- a/test/markdownlint-test-extra-parse.js
+++ b/test/markdownlint-test-extra-parse.js
@@ -2,18 +2,15 @@
 
 "use strict";
 
-const globby = require("globby");
 const test = require("ava").default;
 const markdownlint = require("../lib/markdownlint");
 
 // Parses all Markdown files in all package dependencies
-test.cb("parseAllFiles", (t) => {
+test("parseAllFiles", async(t) => {
   t.plan(1);
-  const options = {
-    "files": globby.sync("**/*.{md,markdown}")
-  };
-  markdownlint(options, (err) => {
-    t.falsy(err);
-    t.end();
-  });
+  // eslint-disable-next-line node/no-unsupported-features/es-syntax
+  const { globby } = await import("globby");
+  const files = await globby("**/*.{md,markdown}");
+  await markdownlint.promises.markdownlint({ files });
+  t.pass();
 });
diff --git a/test/markdownlint-test-repos.js b/test/markdownlint-test-repos.js
index 1363792b..aefd9889 100644
--- a/test/markdownlint-test-repos.js
+++ b/test/markdownlint-test-repos.js
@@ -6,7 +6,6 @@ const { existsSync } = require("fs");
 // eslint-disable-next-line unicorn/import-style
 const { join } = require("path");
 const { promisify } = require("util");
-const globby = require("globby");
 const jsYaml = require("js-yaml");
 const test = require("ava").default;
 const markdownlint = require("../lib/markdownlint");
@@ -25,6 +24,8 @@ const readConfigPromise = promisify(markdownlint.readConfig);
 async function lintTestRepo(t, globPatterns, configPath, ignoreRes) {
   t.plan(1);
   // eslint-disable-next-line node/no-unsupported-features/es-syntax
+  const { globby } = await import("globby");
+  // eslint-disable-next-line node/no-unsupported-features/es-syntax
   const { "default": stripJsonComments } = await import("strip-json-comments");
   const jsoncParse = (json) => JSON.parse(stripJsonComments(json));
   const yamlParse = (yaml) => jsYaml.load(yaml);