diff --git a/src/Illuminate/Queue/Middleware/ThrottlesExceptions.php b/src/Illuminate/Queue/Middleware/ThrottlesExceptions.php
index 68017795655c..5c5c7d04a7ed 100644
--- a/src/Illuminate/Queue/Middleware/ThrottlesExceptions.php
+++ b/src/Illuminate/Queue/Middleware/ThrottlesExceptions.php
@@ -57,6 +57,13 @@ class ThrottlesExceptions
      */
     protected $whenCallback;
 
+    /**
+     * The callbacks that determine if the job should be deleted.
+     *
+     * @var callable[]
+     */
+    protected array $deleteWhenCallbacks = [];
+
     /**
      * The prefix of the rate limiter key.
      *
@@ -111,6 +118,10 @@ public function handle($job, $next)
                 report($throwable);
             }
 
+            if ($this->shouldDelete($throwable)) {
+                return $job->delete();
+            }
+
             $this->limiter->hit($jobKey, $this->decaySeconds);
 
             return $job->release($this->retryAfterMinutes * 60);
@@ -130,6 +141,38 @@ public function when(callable $callback)
         return $this;
     }
 
+    /**
+     * Add a callback that should determine if the job should be deleted.
+     *
+     * @param  callable|string  $callback
+     * @return $this
+     */
+    public function deleteWhen(callable|string $callback)
+    {
+        $this->deleteWhenCallbacks[] = is_string($callback)
+            ? fn (Throwable $e) => $e instanceof $callback
+            : $callback;
+
+        return $this;
+    }
+
+    /**
+     * Run the skip / delete callbacks to determine if the job should be deleted for the given exception.
+     *
+     * @param  Throwable  $throwable
+     * @return bool
+     */
+    protected function shouldDelete(Throwable $throwable): bool
+    {
+        foreach ($this->deleteWhenCallbacks as $callback) {
+            if (call_user_func($callback, $throwable)) {
+                return true;
+            }
+        }
+
+        return false;
+    }
+
     /**
      * Set the prefix of the rate limiter key.
      *
diff --git a/src/Illuminate/Queue/Middleware/ThrottlesExceptionsWithRedis.php b/src/Illuminate/Queue/Middleware/ThrottlesExceptionsWithRedis.php
index e5b79a7d67ed..8c6b78912b0d 100644
--- a/src/Illuminate/Queue/Middleware/ThrottlesExceptionsWithRedis.php
+++ b/src/Illuminate/Queue/Middleware/ThrottlesExceptionsWithRedis.php
@@ -58,6 +58,10 @@ public function handle($job, $next)
                 report($throwable);
             }
 
+            if ($this->shouldDelete($throwable)) {
+                return $job->delete();
+            }
+
             $this->limiter->acquire();
 
             return $job->release($this->retryAfterMinutes * 60);
diff --git a/tests/Integration/Queue/ThrottlesExceptionsTest.php b/tests/Integration/Queue/ThrottlesExceptionsTest.php
index e559c41b7f8f..19f525afcc8d 100644
--- a/tests/Integration/Queue/ThrottlesExceptionsTest.php
+++ b/tests/Integration/Queue/ThrottlesExceptionsTest.php
@@ -40,6 +40,11 @@ public function testCircuitResetsAfterSuccess()
         $this->assertJobWasReleasedWithDelay(CircuitBreakerTestJob::class);
     }
 
+    public function testCircuitCanSkipJob()
+    {
+        $this->assertJobWasDeleted(CircuitBreakerSkipJob::class);
+    }
+
     protected function assertJobWasReleasedImmediately($class)
     {
         $class::$handled = false;
@@ -82,6 +87,27 @@ protected function assertJobWasReleasedWithDelay($class)
         $this->assertFalse($class::$handled);
     }
 
+    protected function assertJobWasDeleted($class)
+    {
+        $class::$handled = false;
+        $instance = new CallQueuedHandler(new Dispatcher($this->app), $this->app);
+
+        $job = m::mock(Job::class);
+
+        $job->shouldReceive('hasFailed')->once()->andReturn(false);
+        $job->shouldReceive('delete')->once();
+        $job->shouldReceive('isDeleted')->andReturn(true);
+        $job->shouldReceive('isReleased')->twice()->andReturn(false);
+        $job->shouldReceive('isDeletedOrReleased')->once()->andReturn(true);
+        $job->shouldReceive('uuid')->andReturn('simple-test-uuid');
+
+        $instance->call($job, [
+            'command' => serialize($command = new $class),
+        ]);
+
+        $this->assertTrue($class::$handled);
+    }
+
     protected function assertJobRanSuccessfully($class)
     {
         $class::$handled = false;
@@ -314,6 +340,25 @@ public function middleware()
     }
 }
 
+class CircuitBreakerSkipJob
+{
+    use InteractsWithQueue, Queueable;
+
+    public static $handled = false;
+
+    public function handle()
+    {
+        static::$handled = true;
+
+        throw new Exception;
+    }
+
+    public function middleware()
+    {
+        return [(new ThrottlesExceptions(2, 10 * 60))->deleteWhen(Exception::class)];
+    }
+}
+
 class CircuitBreakerSuccessfulJob
 {
     use InteractsWithQueue, Queueable;