diff --git a/src/Symfony/Component/Messenger/MessageBus.php b/src/Symfony/Component/Messenger/MessageBus.php
index 0698f8e81a250..e9200c0c95090 100644
--- a/src/Symfony/Component/Messenger/MessageBus.php
+++ b/src/Symfony/Component/Messenger/MessageBus.php
@@ -12,7 +12,7 @@
 namespace Symfony\Component\Messenger;
 
 use Symfony\Component\Messenger\Middleware\MiddlewareInterface;
-use Symfony\Component\Messenger\Middleware\StackMiddleware;
+use Symfony\Component\Messenger\Middleware\Pipeline;
 
 /**
  * @author Samuel Roze <samuel.roze@gmail.com>
@@ -23,30 +23,14 @@
  */
 class MessageBus implements MessageBusInterface
 {
-    private $middlewareAggregate;
+    private $middlewares;
 
     /**
      * @param MiddlewareInterface[]|iterable $middlewareHandlers
      */
-    public function __construct(iterable $middlewareHandlers = [])
+    public function __construct(array $middlewares = [])
     {
-        if ($middlewareHandlers instanceof \IteratorAggregate) {
-            $this->middlewareAggregate = $middlewareHandlers;
-        } elseif (\is_array($middlewareHandlers)) {
-            $this->middlewareAggregate = new \ArrayObject($middlewareHandlers);
-        } else {
-            $this->middlewareAggregate = new class() {
-                public $aggregate;
-                public $iterator;
-
-                public function getIterator()
-                {
-                    return $this->aggregate = new \ArrayObject(iterator_to_array($this->iterator, false));
-                }
-            };
-            $this->middlewareAggregate->aggregate = &$this->middlewareAggregate;
-            $this->middlewareAggregate->iterator = $middlewareHandlers;
-        }
+        $this->middlewares = $middlewares;
     }
 
     /**
@@ -57,19 +41,10 @@ public function dispatch($message, array $stamps = []): Envelope
         if (!\is_object($message)) {
             throw new \TypeError(sprintf('Invalid argument provided to "%s()": expected object, but got %s.', __METHOD__, \gettype($message)));
         }
-        $envelope = Envelope::wrap($message, $stamps);
-        $middlewareIterator = $this->middlewareAggregate->getIterator();
 
-        while ($middlewareIterator instanceof \IteratorAggregate) {
-            $middlewareIterator = $middlewareIterator->getIterator();
-        }
-        $middlewareIterator->rewind();
-
-        if (!$middlewareIterator->valid()) {
-            return $envelope;
-        }
-        $stack = new StackMiddleware($middlewareIterator);
+        $envelope = Envelope::wrap($message, $stamps);
+        $pipeline = new Pipeline($this->middlewares);
 
-        return $middlewareIterator->current()->handle($envelope, $stack);
+        return $pipeline->handle($envelope);
     }
 }
diff --git a/src/Symfony/Component/Messenger/Middleware/Carrier.php b/src/Symfony/Component/Messenger/Middleware/Carrier.php
new file mode 100644
index 0000000000000..f724f94d540d2
--- /dev/null
+++ b/src/Symfony/Component/Messenger/Middleware/Carrier.php
@@ -0,0 +1,38 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Symfony\Component\Messenger\Middleware;
+
+
+use Symfony\Component\Messenger\Envelope;
+
+class Carrier implements NextHandlerInterface
+{
+    /**
+     * @var MiddlewareInterface
+     */
+    private $currentMiddleware;
+
+    /**
+     * @var NextHandlerInterface
+     */
+    private $nextHandler;
+
+    /**
+     * @param MiddlewareInterface $currentMiddleware
+     * @param NextHandlerInterface $nextHandler
+     *
+     */
+    public function __construct(MiddlewareInterface $currentMiddleware, NextHandlerInterface $nextHandler)
+    {
+        $this->currentMiddleware = $currentMiddleware;
+        $this->nextHandler = $nextHandler;
+    }
+
+
+    public function handle(Envelope $envelope) : Envelope
+    {
+        return $this->currentMiddleware->handle($envelope, $this->nextHandler);
+    }
+}
diff --git a/src/Symfony/Component/Messenger/Middleware/MiddlewareInterface.php b/src/Symfony/Component/Messenger/Middleware/MiddlewareInterface.php
index 674bca7e95651..d1ec363cfe13d 100644
--- a/src/Symfony/Component/Messenger/Middleware/MiddlewareInterface.php
+++ b/src/Symfony/Component/Messenger/Middleware/MiddlewareInterface.php
@@ -20,5 +20,5 @@
  */
 interface MiddlewareInterface
 {
-    public function handle(Envelope $envelope, StackInterface $stack): Envelope;
+    public function handle(Envelope $envelope, NextHandlerInterface $next): Envelope;
 }
diff --git a/src/Symfony/Component/Messenger/Middleware/NextHandlerInterface.php b/src/Symfony/Component/Messenger/Middleware/NextHandlerInterface.php
new file mode 100644
index 0000000000000..73a8bd507af0f
--- /dev/null
+++ b/src/Symfony/Component/Messenger/Middleware/NextHandlerInterface.php
@@ -0,0 +1,13 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Symfony\Component\Messenger\Middleware;
+
+
+use Symfony\Component\Messenger\Envelope;
+
+interface NextHandlerInterface
+{
+    public function handle(Envelope $envelope) : Envelope;
+}
diff --git a/src/Symfony/Component/Messenger/Middleware/Pipeline.php b/src/Symfony/Component/Messenger/Middleware/Pipeline.php
new file mode 100644
index 0000000000000..ebb475ef9bddc
--- /dev/null
+++ b/src/Symfony/Component/Messenger/Middleware/Pipeline.php
@@ -0,0 +1,30 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Symfony\Component\Messenger\Middleware;
+
+
+use function array_reverse;
+use Symfony\Component\Messenger\Envelope;
+
+class Pipeline
+{
+    /**
+     * @var NextHandlerInterface
+     */
+    private $handler;
+
+    public function __construct(array $middlewares)
+    {
+        $this->handler = new Recipient();
+        foreach (array_reverse($middlewares) as $middleware) {
+            $this->handler = new Carrier($middleware, $this->handler);
+        }
+    }
+
+    public function handle(Envelope $envelope) : Envelope
+    {
+        return $this->handler->handle($envelope);
+    }
+}
diff --git a/src/Symfony/Component/Messenger/Middleware/Recipient.php b/src/Symfony/Component/Messenger/Middleware/Recipient.php
new file mode 100644
index 0000000000000..33bb62b218818
--- /dev/null
+++ b/src/Symfony/Component/Messenger/Middleware/Recipient.php
@@ -0,0 +1,17 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Symfony\Component\Messenger\Middleware;
+
+
+use Symfony\Component\Messenger\Envelope;
+
+class Recipient implements NextHandlerInterface
+{
+
+    public function handle(Envelope $envelope) : Envelope
+    {
+        return $envelope;
+    }
+}
diff --git a/src/Symfony/Component/Messenger/Middleware/StackInterface.php b/src/Symfony/Component/Messenger/Middleware/StackInterface.php
deleted file mode 100644
index 1ee38ea6ea6b9..0000000000000
--- a/src/Symfony/Component/Messenger/Middleware/StackInterface.php
+++ /dev/null
@@ -1,25 +0,0 @@
-<?php
-
-/*
- * This file is part of the Symfony package.
- *
- * (c) Fabien Potencier <fabien@symfony.com>
- *
- * For the full copyright and license information, please view the LICENSE
- * file that was distributed with this source code.
- */
-
-namespace Symfony\Component\Messenger\Middleware;
-
-/**
- * @author Nicolas Grekas <p@tchwork.com>
- *
- * @experimental in 4.2
- */
-interface StackInterface
-{
-    /**
-     * Returns the next middleware to process a message.
-     */
-    public function next(): MiddlewareInterface;
-}
diff --git a/src/Symfony/Component/Messenger/Middleware/StackMiddleware.php b/src/Symfony/Component/Messenger/Middleware/StackMiddleware.php
deleted file mode 100644
index 24516cd88111d..0000000000000
--- a/src/Symfony/Component/Messenger/Middleware/StackMiddleware.php
+++ /dev/null
@@ -1,50 +0,0 @@
-<?php
-
-/*
- * This file is part of the Symfony package.
- *
- * (c) Fabien Potencier <fabien@symfony.com>
- *
- * For the full copyright and license information, please view the LICENSE
- * file that was distributed with this source code.
- */
-
-namespace Symfony\Component\Messenger\Middleware;
-
-use Symfony\Component\Messenger\Envelope;
-
-/**
- * @author Nicolas Grekas <p@tchwork.com>
- *
- * @experimental in 4.2
- */
-class StackMiddleware implements MiddlewareInterface, StackInterface
-{
-    private $middlewareIterator;
-
-    public function __construct(\Iterator $middlewareIterator = null)
-    {
-        $this->middlewareIterator = $middlewareIterator;
-    }
-
-    public function next(): MiddlewareInterface
-    {
-        if (null === $iterator = $this->middlewareIterator) {
-            return $this;
-        }
-        $iterator->next();
-
-        if (!$iterator->valid()) {
-            $this->middlewareIterator = null;
-
-            return $this;
-        }
-
-        return $iterator->current();
-    }
-
-    public function handle(Envelope $envelope, StackInterface $stack): Envelope
-    {
-        return $envelope;
-    }
-}