diff --git a/packages/edit-site/src/components/global-styles/font-sizes/font-size.js b/packages/edit-site/src/components/global-styles/font-sizes/font-size.js
index 25dcc69185cae6..cca4a26e1b7368 100644
--- a/packages/edit-site/src/components/global-styles/font-sizes/font-size.js
+++ b/packages/edit-site/src/components/global-styles/font-sizes/font-size.js
@@ -166,25 +166,34 @@ function FontSize() {
 								marginBottom={ 0 }
 								paddingX={ 4 }
 							>
-								<Menu
-									trigger={
-										<Button
-											size="small"
-											icon={ moreVertical }
-											label={ __( 'Font size options' ) }
-										/>
-									}
-								>
-									<Menu.Item onClick={ toggleRenameDialog }>
-										<Menu.ItemLabel>
-											{ __( 'Rename' ) }
-										</Menu.ItemLabel>
-									</Menu.Item>
-									<Menu.Item onClick={ toggleDeleteConfirm }>
-										<Menu.ItemLabel>
-											{ __( 'Delete' ) }
-										</Menu.ItemLabel>
-									</Menu.Item>
+								<Menu>
+									<Menu.TriggerButton
+										render={
+											<Button
+												size="small"
+												icon={ moreVertical }
+												label={ __(
+													'Font size options'
+												) }
+											/>
+										}
+									/>
+									<Menu.Popover>
+										<Menu.Item
+											onClick={ toggleRenameDialog }
+										>
+											<Menu.ItemLabel>
+												{ __( 'Rename' ) }
+											</Menu.ItemLabel>
+										</Menu.Item>
+										<Menu.Item
+											onClick={ toggleDeleteConfirm }
+										>
+											<Menu.ItemLabel>
+												{ __( 'Delete' ) }
+											</Menu.ItemLabel>
+										</Menu.Item>
+									</Menu.Popover>
 								</Menu>
 							</Spacer>
 						</FlexItem>
diff --git a/packages/edit-site/src/components/global-styles/font-sizes/font-sizes.js b/packages/edit-site/src/components/global-styles/font-sizes/font-sizes.js
index 4bda7a7b3266b5..91c78e42ff8f62 100644
--- a/packages/edit-site/src/components/global-styles/font-sizes/font-sizes.js
+++ b/packages/edit-site/src/components/global-styles/font-sizes/font-sizes.js
@@ -27,14 +27,15 @@ import { useState } from '@wordpress/element';
  * Internal dependencies
  */
 import { unlock } from '../../../lock-unlock';
-const { Menu } = unlock( componentsPrivateApis );
-const { useGlobalSetting } = unlock( blockEditorPrivateApis );
 import Subtitle from '../subtitle';
 import { NavigationButtonAsItem } from '../navigation-button';
 import { getNewIndexFromPresets } from '../utils';
 import ScreenHeader from '../header';
 import ConfirmResetFontSizesDialog from './confirm-reset-font-sizes-dialog';
 
+const { Menu } = unlock( componentsPrivateApis );
+const { useGlobalSetting } = unlock( blockEditorPrivateApis );
+
 function FontSizeGroup( {
 	label,
 	origin,
@@ -81,24 +82,31 @@ function FontSizeGroup( {
 							/>
 						) }
 						{ !! handleResetFontSizes && (
-							<Menu
-								trigger={
-									<Button
-										size="small"
-										icon={ moreVertical }
-										label={ __(
-											'Font size presets options'
-										) }
-									/>
-								}
-							>
-								<Menu.Item onClick={ toggleResetDialog }>
-									<Menu.ItemLabel>
-										{ origin === 'custom'
-											? __( 'Remove font size presets' )
-											: __( 'Reset font size presets' ) }
-									</Menu.ItemLabel>
-								</Menu.Item>
+							<Menu>
+								<Menu.TriggerButton
+									render={
+										<Button
+											size="small"
+											icon={ moreVertical }
+											label={ __(
+												'Font size presets options'
+											) }
+										/>
+									}
+								/>
+								<Menu.Popover>
+									<Menu.Item onClick={ toggleResetDialog }>
+										<Menu.ItemLabel>
+											{ origin === 'custom'
+												? __(
+														'Remove font size presets'
+												  )
+												: __(
+														'Reset font size presets'
+												  ) }
+										</Menu.ItemLabel>
+									</Menu.Item>
+								</Menu.Popover>
 							</Menu>
 						) }
 					</FlexItem>