diff --git a/test/accessibility/services/a11y/a11y.ts b/test/accessibility/services/a11y/a11y.ts
index c6a194ace9c25d..d29d17484486cd 100644
--- a/test/accessibility/services/a11y/a11y.ts
+++ b/test/accessibility/services/a11y/a11y.ts
@@ -61,11 +61,7 @@ export function A11yProvider({ getService }: FtrProviderContext) {
         exclude: ([] as string[])
           .concat(excludeTestSubj || [])
           .map((ts) => [testSubjectToCss(ts)])
-          .concat([
-            [
-              '.leaflet-vega-container[role="graphics-document"][aria-roledescription="visualization"]',
-            ],
-          ]),
+          .concat([['[role="graphics-document"][aria-roledescription="visualization"]']]),
       };
     }
 
diff --git a/x-pack/plugins/ml/public/application/components/custom_selection_table/custom_selection_table.js b/x-pack/plugins/ml/public/application/components/custom_selection_table/custom_selection_table.js
index 274a5ff0ffbb49..935f1f7f54df84 100644
--- a/x-pack/plugins/ml/public/application/components/custom_selection_table/custom_selection_table.js
+++ b/x-pack/plugins/ml/public/application/components/custom_selection_table/custom_selection_table.js
@@ -4,9 +4,9 @@
  * you may not use this file except in compliance with the Elastic License.
  */
 
-import React, { Fragment, useState, useEffect } from 'react';
-import { PropTypes } from 'prop-types';
+import React, { Fragment, useState, useEffect, useMemo } from 'react';
 import {
+  htmlIdGenerator,
   EuiCheckbox,
   EuiSearchBar,
   EuiFlexGroup,
@@ -25,6 +25,7 @@ import {
   EuiTableRowCellCheckbox,
   EuiTableHeaderMobile,
 } from '@elastic/eui';
+import { PropTypes } from 'prop-types';
 
 import { Pager } from '@elastic/eui/lib/services';
 import { i18n } from '@kbn/i18n';
@@ -179,6 +180,8 @@ export function CustomSelectionTable({
     return indexOfUnselectedItem === -1;
   }
 
+  const selectAllCheckboxId = useMemo(() => htmlIdGenerator()(), []);
+
   function renderSelectAll(mobile) {
     const selectAll = i18n.translate('xpack.ml.jobSelector.customTable.selectAllCheckboxLabel', {
       defaultMessage: 'Select all',
@@ -186,7 +189,7 @@ export function CustomSelectionTable({
 
     return (
       <EuiCheckbox
-        id="selectAllCheckbox"
+        id={`${mobile ? `mobile-` : ''}${selectAllCheckboxId}`}
         label={mobile ? selectAll : null}
         checked={areAllItemsSelected()}
         onChange={toggleAll}
diff --git a/x-pack/test/accessibility/apps/ml.ts b/x-pack/test/accessibility/apps/ml.ts
index 799911cd77a9fe..b1fd96c4d160f6 100644
--- a/x-pack/test/accessibility/apps/ml.ts
+++ b/x-pack/test/accessibility/apps/ml.ts
@@ -12,8 +12,7 @@ export default function ({ getService }: FtrProviderContext) {
   const a11y = getService('a11y');
   const ml = getService('ml');
 
-  // flaky tests, see https://github.com/elastic/kibana/issues/88592
-  describe.skip('ml', () => {
+  describe('ml', () => {
     const esArchiver = getService('esArchiver');
 
     before(async () => {
@@ -239,6 +238,7 @@ export default function ({ getService }: FtrProviderContext) {
         });
 
         it('data frame analytics create job select index pattern modal', async () => {
+          await ml.navigation.navigateToMl();
           await ml.navigation.navigateToDataFrameAnalytics();
           await ml.dataFrameAnalytics.startAnalyticsCreation();
           await a11y.testAppSnapshot();
@@ -261,6 +261,8 @@ export default function ({ getService }: FtrProviderContext) {
           await ml.dataFrameAnalyticsCreation.assertSourceDataPreviewExists();
           await ml.testExecution.logTestStep('enables the source data preview histogram charts');
           await ml.dataFrameAnalyticsCreation.enableSourceDataPreviewHistogramCharts();
+          await ml.testExecution.logTestStep('displays the include fields selection');
+          await ml.dataFrameAnalyticsCreation.assertIncludeFieldsSelectionExists();
           await a11y.testAppSnapshot();
         });