diff --git a/code/addons/test/src/constants.ts b/code/addons/test/src/constants.ts
index d57ff1b1da8a..58463326dcd7 100644
--- a/code/addons/test/src/constants.ts
+++ b/code/addons/test/src/constants.ts
@@ -12,6 +12,13 @@ export const DOCUMENTATION_FATAL_ERROR_LINK = `${DOCUMENTATION_LINK}#what-happen
 
 export const COVERAGE_DIRECTORY = 'coverage';
 
+export const SUPPORTED_FRAMEWORKS = [
+  '@storybook/nextjs',
+  '@storybook/experimental-nextjs-vite',
+  '@storybook/sveltekit',
+];
+
+export const SUPPORTED_RENDERERS = ['@storybook/react', '@storybook/svelte', '@storybook/vue3'];
 export interface Config {
   coverage: boolean;
   a11y: boolean;
diff --git a/code/addons/test/src/postinstall.ts b/code/addons/test/src/postinstall.ts
index 5731d797d0ee..ac91f8aff5c7 100644
--- a/code/addons/test/src/postinstall.ts
+++ b/code/addons/test/src/postinstall.ts
@@ -25,6 +25,7 @@ import { coerce, satisfies } from 'semver';
 import { dedent } from 'ts-dedent';
 
 import { type PostinstallOptions } from '../../../lib/cli-storybook/src/add';
+import { SUPPORTED_FRAMEWORKS, SUPPORTED_RENDERERS } from './constants';
 import { printError, printInfo, printSuccess, step } from './postinstall-logger';
 import { getAddonNames } from './utils';
 
@@ -106,18 +107,11 @@ export default async function postInstall(options: PostinstallOptions) {
     }
   }
 
-  const annotationsImport = [
-    '@storybook/nextjs',
-    '@storybook/experimental-nextjs-vite',
-    '@storybook/sveltekit',
-  ].includes(info.frameworkPackageName)
+  const annotationsImport = SUPPORTED_FRAMEWORKS.includes(info.frameworkPackageName)
     ? info.frameworkPackageName === '@storybook/nextjs'
       ? '@storybook/experimental-nextjs-vite'
       : info.frameworkPackageName
-    : info.rendererPackageName &&
-        ['@storybook/react', '@storybook/svelte', '@storybook/vue3'].includes(
-          info.rendererPackageName
-        )
+    : info.rendererPackageName && SUPPORTED_RENDERERS.includes(info.rendererPackageName)
       ? info.rendererPackageName
       : null;
 
diff --git a/code/lib/cli-storybook/src/automigrate/fixes/addon-a11y-addon-test.test.ts b/code/lib/cli-storybook/src/automigrate/fixes/addon-a11y-addon-test.test.ts
index 7bd831d082b7..87da579183cb 100644
--- a/code/lib/cli-storybook/src/automigrate/fixes/addon-a11y-addon-test.test.ts
+++ b/code/lib/cli-storybook/src/automigrate/fixes/addon-a11y-addon-test.test.ts
@@ -7,7 +7,13 @@ import dedent from 'ts-dedent';
 import { getAddonNames } from '../helpers/mainConfigFile';
 import { addonA11yAddonTest, transformSetupFile } from './addon-a11y-addon-test';
 
-vi.mock('../helpers/mainConfigFile');
+vi.mock('../helpers/mainConfigFile', async (importOriginal) => {
+  const mod = (await importOriginal()) as any;
+  return {
+    ...mod,
+    getAddonNames: vi.fn(),
+  };
+});
 
 // mock fs.existsSync
 vi.mock('fs', async (importOriginal) => {
@@ -46,6 +52,20 @@ describe('addonA11yAddonTest', () => {
       expect(result).toBeNull();
     });
 
+    it('should return null if provided framework is not supported', async () => {
+      vi.mocked(getAddonNames).mockReturnValue([
+        '@storybook/addon-a11y',
+        '@storybook/experimental-addon-test',
+      ]);
+      const result = await addonA11yAddonTest.check({
+        mainConfig: {
+          framework: '@storybook/angular',
+        },
+        configDir: '',
+      } as any);
+      expect(result).toBeNull();
+    });
+
     it('should return setupFile and transformedSetupCode if vitest.setup file exists', async () => {
       vi.mocked(getAddonNames).mockReturnValue([
         '@storybook/addon-a11y',
@@ -54,7 +74,12 @@ describe('addonA11yAddonTest', () => {
       vi.mocked(existsSync).mockReturnValue(true);
       vi.mocked(readFileSync).mockReturnValue('const annotations = setProjectAnnotations([]);');
 
-      const result = await addonA11yAddonTest.check({ mainConfig, configDir } as any);
+      const result = await addonA11yAddonTest.check({
+        mainConfig: {
+          framework: '@storybook/react-vite',
+        },
+        configDir,
+      } as any);
       expect(result).toEqual({
         setupFile: path.join(configDir, 'vitest.setup.js'),
         transformedSetupCode: expect.any(String),
@@ -71,7 +96,12 @@ describe('addonA11yAddonTest', () => {
         throw new Error('Test error');
       });
 
-      const result = await addonA11yAddonTest.check({ mainConfig, configDir } as any);
+      const result = await addonA11yAddonTest.check({
+        mainConfig: {
+          framework: '@storybook/sveltekit',
+        },
+        configDir,
+      } as any);
       expect(result).toEqual({
         setupFile: path.join(configDir, 'vitest.setup.js'),
         transformedSetupCode: null,
diff --git a/code/lib/cli-storybook/src/automigrate/fixes/addon-a11y-addon-test.ts b/code/lib/cli-storybook/src/automigrate/fixes/addon-a11y-addon-test.ts
index 6b85146407f6..a8cd25cdf371 100644
--- a/code/lib/cli-storybook/src/automigrate/fixes/addon-a11y-addon-test.ts
+++ b/code/lib/cli-storybook/src/automigrate/fixes/addon-a11y-addon-test.ts
@@ -1,10 +1,17 @@
+import { rendererPackages } from 'storybook/internal/common';
+
 import { existsSync, readFileSync, writeFileSync } from 'fs';
 import * as jscodeshift from 'jscodeshift';
 import path from 'path';
 import picocolors from 'picocolors';
 import { dedent } from 'ts-dedent';
 
-import { getAddonNames } from '../helpers/mainConfigFile';
+// Relative path import to avoid dependency to @storybook/test
+import {
+  SUPPORTED_FRAMEWORKS,
+  SUPPORTED_RENDERERS,
+} from '../../../../../addons/test/src/constants';
+import { getAddonNames, getFrameworkPackageName, getRendererName } from '../helpers/mainConfigFile';
 import type { Fix } from '../types';
 
 export const vitestFileExtensions = ['.js', '.ts', '.cts', '.mts', '.cjs', '.mjs'] as const;
@@ -35,11 +42,23 @@ export const addonA11yAddonTest: Fix<AddonA11yAddonTestOptions> = {
   async check({ mainConfig, configDir }) {
     const addons = getAddonNames(mainConfig);
 
+    const frameworkPackageName = getFrameworkPackageName(mainConfig);
+    const rendererPackageName = getRendererName(mainConfig);
+
     const hasA11yAddon = !!addons.find((addon) => addon.includes('@storybook/addon-a11y'));
     const hasTestAddon = !!addons.find((addon) =>
       addon.includes('@storybook/experimental-addon-test')
     );
 
+    if (
+      !SUPPORTED_FRAMEWORKS.find((framework) => frameworkPackageName?.includes(framework)) &&
+      !SUPPORTED_RENDERERS.find((renderer) =>
+        rendererPackageName?.includes(rendererPackages[renderer])
+      )
+    ) {
+      return null;
+    }
+
     if (!hasA11yAddon || !hasTestAddon || !configDir) {
       return null;
     }