diff --git a/packages/docusaurus-theme-classic/src/theme/Heading/index.tsx b/packages/docusaurus-theme-classic/src/theme/Heading/index.tsx
index 982b519901..c22669cbdf 100644
--- a/packages/docusaurus-theme-classic/src/theme/Heading/index.tsx
+++ b/packages/docusaurus-theme-classic/src/theme/Heading/index.tsx
@@ -11,7 +11,6 @@ import type {Props} from '@theme/Heading';
 import {translate} from '@docusaurus/Translate';
 import {useThemeConfig} from '@docusaurus/theme-common';
 
-import './styles.css';
 import styles from './styles.module.css';
 
 function AnchorHeading({as: As, id, ...props}: Props) {
diff --git a/packages/docusaurus-theme-classic/src/theme/Heading/styles.css b/packages/docusaurus-theme-classic/src/theme/Heading/styles.css
deleted file mode 100644
index 8d988d6ba7..0000000000
--- a/packages/docusaurus-theme-classic/src/theme/Heading/styles.css
+++ /dev/null
@@ -1,22 +0,0 @@
-/**
- * Copyright (c) Facebook, Inc. and its affiliates.
- *
- * This source code is licensed under the MIT license found in the
- * LICENSE file in the root directory of this source tree.
- */
-
-.hash-link {
-  opacity: 0;
-  padding-left: 0.5rem;
-  transition: opacity var(--ifm-transition-fast);
-  user-select: none;
-}
-
-.hash-link::before {
-  content: '#';
-}
-
-.hash-link:focus,
-*:hover > .hash-link {
-  opacity: 1;
-}
diff --git a/packages/docusaurus-theme-classic/src/theme/Heading/styles.module.css b/packages/docusaurus-theme-classic/src/theme/Heading/styles.module.css
index 03a6a9d15e..1b7c5cdbd6 100644
--- a/packages/docusaurus-theme-classic/src/theme/Heading/styles.module.css
+++ b/packages/docusaurus-theme-classic/src/theme/Heading/styles.module.css
@@ -17,3 +17,19 @@ See https://twitter.com/JoshWComeau/status/1332015868725891076
 .anchorWithHideOnScrollNavbar {
   scroll-margin-top: 0.5rem;
 }
+
+:global(.hash-link) {
+  opacity: 0;
+  padding-left: 0.5rem;
+  transition: opacity var(--ifm-transition-fast);
+  user-select: none;
+}
+
+:global(.hash-link::before) {
+  content: '#';
+}
+
+:global(.hash-link:focus),
+:global(*:hover > .hash-link) {
+  opacity: 1;
+}