diff --git a/packages/cypress/src/generators/convert-to-inferred/convert-to-inferred.spec.ts b/packages/cypress/src/generators/convert-to-inferred/convert-to-inferred.spec.ts
index 78dfad54e21c66..60e9dbb98a1a3e 100644
--- a/packages/cypress/src/generators/convert-to-inferred/convert-to-inferred.spec.ts
+++ b/packages/cypress/src/generators/convert-to-inferred/convert-to-inferred.spec.ts
@@ -91,6 +91,7 @@ interface CreateCypressTestProjectOptions {
   appName: string;
   appRoot: string;
   e2eTargetName: string;
+  legacyExecutor?: boolean;
 }
 
 const defaultCreateCypressTestProjectOptions: CreateCypressTestProjectOptions =
@@ -98,6 +99,7 @@ const defaultCreateCypressTestProjectOptions: CreateCypressTestProjectOptions =
     appName: 'myapp-e2e',
     appRoot: 'myapp-e2e',
     e2eTargetName: 'e2e',
+    legacyExecutor: false,
   };
 
 function createTestProject(
@@ -111,7 +113,9 @@ function createTestProject(
     projectType: 'application',
     targets: {
       [projectOpts.e2eTargetName]: {
-        executor: '@nx/cypress:cypress',
+        executor: projectOpts.legacyExecutor
+          ? '@nrwl/cypress:cypress'
+          : '@nx/cypress:cypress',
         options: {
           cypressConfig: `${projectOpts.appRoot}/cypress.config.ts`,
           testingType: `e2e`,
@@ -305,6 +309,42 @@ describe('Cypress - Convert Executors To Plugin', () => {
       }
     });
 
+    it('should setup handle legacy executor', async () => {
+      // ARRANGE
+      const project = createTestProject(tree, {
+        e2eTargetName: 'test',
+        legacyExecutor: true,
+      });
+
+      // ACT
+      await convertToInferred(tree, { skipFormat: true });
+
+      // ASSERT
+      // project.json modifications
+      const updatedProject = readProjectConfiguration(tree, project.name);
+      const targetKeys = Object.keys(updatedProject.targets);
+      ['test'].forEach((key) => expect(targetKeys).not.toContain(key));
+
+      // nx.json modifications
+      const nxJsonPlugins = readNxJson(tree).plugins;
+      const hasCypressPlugin = nxJsonPlugins.find((plugin) =>
+        typeof plugin === 'string'
+          ? plugin === '@nx/cypress/plugin'
+          : plugin.plugin === '@nx/cypress/plugin'
+      );
+      expect(hasCypressPlugin).toBeTruthy();
+      if (typeof hasCypressPlugin !== 'string') {
+        [
+          ['targetName', 'test'],
+          ['ciTargetName', 'e2e-ci'],
+        ].forEach(([targetOptionName, targetName]) => {
+          expect(hasCypressPlugin.options[targetOptionName]).toEqual(
+            targetName
+          );
+        });
+      }
+    });
+
     it('should setup a new Cypress plugin to match only projects migrated', async () => {
       // ARRANGE
       const existingProject = createTestProject(tree, {
diff --git a/packages/cypress/src/generators/convert-to-inferred/convert-to-inferred.ts b/packages/cypress/src/generators/convert-to-inferred/convert-to-inferred.ts
index c7948f65a7e7e8..433f8daecb2fef 100644
--- a/packages/cypress/src/generators/convert-to-inferred/convert-to-inferred.ts
+++ b/packages/cypress/src/generators/convert-to-inferred/convert-to-inferred.ts
@@ -21,19 +21,68 @@ interface Schema {
 
 export async function convertToInferred(tree: Tree, options: Schema) {
   const projectGraph = await createProjectGraphAsync();
-  await migrateExecutorToPlugin(
-    tree,
-    projectGraph,
-    '@nx/cypress:cypress',
-    '@nx/cypress/plugin',
-    (targetName) => ({
-      targetName,
-      ciTargetName: 'e2e-ci',
-    }),
-    postTargetTransformer,
-    createNodes,
-    options.project
-  );
+  let projectIsUsingLegacy =
+    options.project &&
+    Object.values(projectGraph.nodes[options.project].data.targets).some(
+      (target) => target.executor === '@nrwl/cypress:cypress'
+    );
+  if (options.project) {
+    if (projectIsUsingLegacy) {
+      await migrateExecutorToPlugin(
+        tree,
+        projectGraph,
+        '@nrwl/cypress:cypress',
+        '@nx/cypress/plugin',
+        (targetName) => ({
+          targetName,
+          ciTargetName: 'e2e-ci',
+        }),
+        postTargetTransformer,
+        createNodes,
+        options.project
+      );
+    } else {
+      await migrateExecutorToPlugin(
+        tree,
+        projectGraph,
+        '@nx/cypress:cypress',
+        '@nx/cypress/plugin',
+        (targetName) => ({
+          targetName,
+          ciTargetName: 'e2e-ci',
+        }),
+        postTargetTransformer,
+        createNodes,
+        options.project
+      );
+    }
+  } else {
+    await migrateExecutorToPlugin(
+      tree,
+      projectGraph,
+      '@nx/cypress:cypress',
+      '@nx/cypress/plugin',
+      (targetName) => ({
+        targetName,
+        ciTargetName: 'e2e-ci',
+      }),
+      postTargetTransformer,
+      createNodes
+    );
+
+    await migrateExecutorToPlugin(
+      tree,
+      projectGraph,
+      '@nrwl/cypress:cypress',
+      '@nx/cypress/plugin',
+      (targetName) => ({
+        targetName,
+        ciTargetName: 'e2e-ci',
+      }),
+      postTargetTransformer,
+      createNodes
+    );
+  }
 
   if (!options.skipFormat) {
     await formatFiles(tree);
diff --git a/packages/devkit/src/generators/plugin-migrations/executor-to-plugin-migrator.ts b/packages/devkit/src/generators/plugin-migrations/executor-to-plugin-migrator.ts
index 94128583562fb7..a4414dbd8e639d 100644
--- a/packages/devkit/src/generators/plugin-migrations/executor-to-plugin-migrator.ts
+++ b/packages/devkit/src/generators/plugin-migrations/executor-to-plugin-migrator.ts
@@ -248,7 +248,11 @@ class ExecutorToPluginMigrator<T> {
             this.#executor
           }" executor. Please select a project that does.`
         : `Could not find any targets using the "${this.#executor}" executor.`;
-      throw new Error(errorMsg);
+      if (this.#specificProjectToMigrate) {
+        throw new Error(errorMsg);
+      } else if (this.#executor.startsWith('@nx')) {
+        console.warn(errorMsg);
+      }
     }
   }