diff --git a/packages/schematics/angular/web-worker/index.ts b/packages/schematics/angular/web-worker/index.ts
index 9718f0407c39..b42f1c877d51 100644
--- a/packages/schematics/angular/web-worker/index.ts
+++ b/packages/schematics/angular/web-worker/index.ts
@@ -76,7 +76,7 @@ if (typeof Worker !== 'undefined') {
 }
 
 const webWorkerSchematic: RuleFactory<WebWorkerOptions> = createProjectSchematic(
-  (options, { project }) => {
+  (options, { project, tree }) => {
     const projectType = project.extensions['projectType'];
     if (projectType !== 'application') {
       throw new SchematicsException(`Web Worker requires a project type of "application".`);
@@ -95,6 +95,7 @@ const webWorkerSchematic: RuleFactory<WebWorkerOptions> = createProjectSchematic
     ]);
 
     const root = project.root || '';
+    const workerConfigPath = join(root, 'tsconfig.worker.json');
     const templateSourceWorkerConfig = apply(url('./files/worker-tsconfig'), [
       applyTemplates({
         ...options,
@@ -114,7 +115,6 @@ const webWorkerSchematic: RuleFactory<WebWorkerOptions> = createProjectSchematic
           throw new Error(`Build target is not defined for this project.`);
         }
 
-        const workerConfigPath = join(root, 'tsconfig.worker.json');
         (buildTarget.options ??= {}).webWorkerTsConfig ??= workerConfigPath;
         // The unit-test builder has no `webWorkerTsConfig` option and reads it from the build target.
         if (testTarget && testTarget.builder !== Builders.BuildUnitTest) {
@@ -125,7 +125,8 @@ const webWorkerSchematic: RuleFactory<WebWorkerOptions> = createProjectSchematic
       options.snippet ? addSnippet(options) : noop(),
       // Add the worker.
       mergeWith(templateSourceWorkerCode),
-      mergeWith(templateSourceWorkerConfig),
+      // The configuration is shared by all the workers of the project.
+      tree.exists(workerConfigPath) ? noop() : mergeWith(templateSourceWorkerConfig),
     ]);
   },
 );
diff --git a/packages/schematics/angular/web-worker/index_spec.ts b/packages/schematics/angular/web-worker/index_spec.ts
index 0f59ed82f0b9..c100bda5b5e1 100644
--- a/packages/schematics/angular/web-worker/index_spec.ts
+++ b/packages/schematics/angular/web-worker/index_spec.ts
@@ -147,4 +147,21 @@ describe('Web Worker Schematic', () => {
     const { compilerOptions } = parseJson(tree.readContent(path).toString());
     expect(compilerOptions.outDir).toBe('./out-tsc/worker');
   });
+
+  it(`should keep the existing 'tsconfig.worker.json' when adding another worker`, async () => {
+    let tree = await schematicRunner.runSchematic('web-worker', defaultOptions, appTree);
+    // The file no longer matches the template once it was customized or formatted by the CLI.
+    const path = '/projects/bar/tsconfig.worker.json';
+    const customized = `{ "compilerOptions": { "lib": ["es2022", "webworker"] } }\n`;
+    tree.overwrite(path, customized);
+
+    tree = await schematicRunner.runSchematic(
+      'web-worker',
+      { ...defaultOptions, name: 'other' },
+      tree,
+    );
+
+    expect(tree.exists('/projects/bar/src/app/other.worker.ts')).toBeTrue();
+    expect(tree.readContent(path)).toBe(customized);
+  });
 });