diff --git a/HttpCache/Store.php b/HttpCache/Store.php
index c3c662c11d..e57afbfef5 100644
--- a/HttpCache/Store.php
+++ b/HttpCache/Store.php
@@ -29,17 +29,28 @@ class Store implements StoreInterface
     private \SplObjectStorage $keyCache;
     /** @var array<string, resource> */
     private array $locks = [];
+    private array $options;
 
     /**
+     * Constructor.
+     *
+     * The available options are:
+     *
+     *   * private_headers  Set of response headers that should not be stored
+     *                      when a response is cached. (default: Set-Cookie)
+     *
      * @throws \RuntimeException
      */
-    public function __construct(string $root)
+    public function __construct(string $root, array $options = [])
     {
         $this->root = $root;
         if (!is_dir($this->root) && !@mkdir($this->root, 0777, true) && !is_dir($this->root)) {
             throw new \RuntimeException(sprintf('Unable to create the store directory (%s).', $this->root));
         }
         $this->keyCache = new \SplObjectStorage();
+        $this->options = array_merge([
+            'private_headers' => ['Set-Cookie'],
+        ], $options);
     }
 
     /**
@@ -212,6 +223,10 @@ public function write(Request $request, Response $response): string
         $headers = $this->persistResponse($response);
         unset($headers['age']);
 
+        foreach ($this->options['private_headers'] as $h) {
+            unset($headers[strtolower($h)]);
+        }
+
         array_unshift($entries, [$storedEnv, $headers]);
 
         if (!$this->save($key, serialize($entries))) {
diff --git a/Kernel.php b/Kernel.php
index 3d4f014dcd..8d415b41f5 100644
--- a/Kernel.php
+++ b/Kernel.php
@@ -78,11 +78,11 @@ abstract class Kernel implements KernelInterface, RebootableInterface, Terminabl
      */
     private static array $freshCache = [];
 
-    public const VERSION = '6.1.11';
-    public const VERSION_ID = 60111;
+    public const VERSION = '6.1.12';
+    public const VERSION_ID = 60112;
     public const MAJOR_VERSION = 6;
     public const MINOR_VERSION = 1;
-    public const RELEASE_VERSION = 11;
+    public const RELEASE_VERSION = 12;
     public const EXTRA_VERSION = '';
 
     public const END_OF_MAINTENANCE = '01/2023';
diff --git a/Tests/HttpCache/StoreTest.php b/Tests/HttpCache/StoreTest.php
index 151b32bdd0..118cbc6f34 100644
--- a/Tests/HttpCache/StoreTest.php
+++ b/Tests/HttpCache/StoreTest.php
@@ -12,8 +12,10 @@
 namespace Symfony\Component\HttpKernel\Tests\HttpCache;
 
 use PHPUnit\Framework\TestCase;
+use Symfony\Component\HttpFoundation\Cookie;
 use Symfony\Component\HttpFoundation\Request;
 use Symfony\Component\HttpFoundation\Response;
+use Symfony\Component\HttpKernel\HttpCache\HttpCache;
 use Symfony\Component\HttpKernel\HttpCache\Store;
 
 class StoreTest extends TestCase
@@ -317,6 +319,17 @@ public function testPurgeHttpAndHttps()
         $this->assertEmpty($this->getStoreMetadata($requestHttps));
     }
 
+    public function testDoesNotStorePrivateHeaders()
+    {
+        $request = Request::create('https://example.com/foo');
+        $response = new Response('foo');
+        $response->headers->setCookie(Cookie::fromString('foo=bar'));
+
+        $this->store->write($request, $response);
+        $this->assertArrayNotHasKey('set-cookie', $this->getStoreMetadata($request)[0][1]);
+        $this->assertNotEmpty($response->headers->getCookies());
+    }
+
     protected function storeSimpleEntry($path = null, $headers = [])
     {
         if (null === $path) {