diff --git a/CHANGELOG.md b/CHANGELOG.md
index 18c6274a..6f6e912b 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -6,6 +6,7 @@
 * Migrate services configuration to PHP
 * Add `console.interactive_only` flag
 * Add `slack.exclude_fields` and `slackwebhook.exclude_fields` configuration
+* Add a processor to all loggers only when tags do not specify a channel or handler
 
 ## 3.10.0 (2023-11-06)
 
diff --git a/composer.json b/composer.json
index 929cd677..c13fddb7 100644
--- a/composer.json
+++ b/composer.json
@@ -22,7 +22,8 @@
         "symfony/config": "^5.4 || ^6.0 || ^7.0",
         "symfony/dependency-injection": "^5.4 || ^6.0 || ^7.0",
         "symfony/http-kernel": "^5.4 || ^6.0 || ^7.0",
-        "symfony/monolog-bridge": "^5.4 || ^6.0 || ^7.0"
+        "symfony/monolog-bridge": "^5.4 || ^6.0 || ^7.0",
+        "symfony/polyfill-php84": "^1.30"
     },
     "require-dev": {
         "symfony/console": "^5.4 || ^6.0 || ^7.0",
diff --git a/src/DependencyInjection/Compiler/AddProcessorsPass.php b/src/DependencyInjection/Compiler/AddProcessorsPass.php
index cc99b67d..e325ea16 100644
--- a/src/DependencyInjection/Compiler/AddProcessorsPass.php
+++ b/src/DependencyInjection/Compiler/AddProcessorsPass.php
@@ -32,6 +32,10 @@ public function process(ContainerBuilder $container)
         }
 
         foreach ($container->findTaggedServiceIds('monolog.processor') as $id => $tags) {
+            if (array_any($tags, $closure = function (array $tag) { return (bool) $tag; })) {
+                $tags = array_filter($tags, $closure);
+            }
+
             foreach ($tags as $tag) {
                 if (!empty($tag['channel']) && !empty($tag['handler'])) {
                     throw new \InvalidArgumentException(\sprintf('you cannot specify both the "handler" and "channel" attributes for the "monolog.processor" tag on service "%s"', $id));
diff --git a/tests/DependencyInjection/Compiler/AddProcessorsPassTest.php b/tests/DependencyInjection/Compiler/AddProcessorsPassTest.php
index b1ef9de6..8d3eee41 100644
--- a/tests/DependencyInjection/Compiler/AddProcessorsPassTest.php
+++ b/tests/DependencyInjection/Compiler/AddProcessorsPassTest.php
@@ -16,7 +16,10 @@
 use PHPUnit\Framework\TestCase;
 use Symfony\Bridge\Monolog\Handler\ConsoleHandler;
 use Symfony\Bundle\MonologBundle\DependencyInjection\Compiler\AddProcessorsPass;
+use Symfony\Bundle\MonologBundle\DependencyInjection\Compiler\LoggerChannelPass;
 use Symfony\Component\Config\FileLocator;
+use Symfony\Component\DependencyInjection\Compiler\PassConfig;
+use Symfony\Component\DependencyInjection\Compiler\ResolveChildDefinitionsPass;
 use Symfony\Component\DependencyInjection\ContainerBuilder;
 use Symfony\Component\DependencyInjection\Definition;
 use Symfony\Component\DependencyInjection\Loader\PhpFileLoader;
@@ -65,6 +68,58 @@ public function testFailureOnHandlerWithoutPushProcessor()
         }
     }
 
+    /**
+     * @dataProvider provideEmptyTagsData
+     */
+    public function testEmptyTagsAreIgnoredWhenNonEmptyArePresent(array $tagAttributesList, array $expectedLoggerCalls, array $expectedMyChannelLoggerCalls)
+    {
+        $container = new ContainerBuilder();
+        $loader = new PhpFileLoader($container, new FileLocator(__DIR__.'/../../../config'));
+        $loader->load('monolog.php');
+
+        $container->setParameter('monolog.additional_channels', ['my_channel']);
+        $container->setParameter('monolog.handlers_to_channels', []);
+
+        $container->register('TestClass')->setTags(['monolog.processor' => $tagAttributesList]);
+
+        $container->getCompilerPassConfig()->setOptimizationPasses([]);
+        $container->getCompilerPassConfig()->setRemovingPasses([]);
+        $container->addCompilerPass(new ResolveChildDefinitionsPass(), PassConfig::TYPE_OPTIMIZE);
+        $container->addCompilerPass(new LoggerChannelPass());
+        $container->addCompilerPass(new AddProcessorsPass());
+        $container->compile();
+
+        $this->assertEquals($expectedLoggerCalls, $container->getDefinition('monolog.logger')->getMethodCalls());
+        $this->assertEquals($expectedMyChannelLoggerCalls, $container->getDefinition('monolog.logger.my_channel')->getMethodCalls());
+    }
+
+    public static function provideEmptyTagsData(): iterable
+    {
+        yield 'with empty tag' => [
+            [[]],
+            [['pushProcessor', [new Reference('TestClass')]], ['useMicrosecondTimestamps', ['%monolog.use_microseconds%']]],
+            [['pushProcessor', [new Reference('TestClass')]]],
+        ];
+
+        yield 'with app channel' => [
+            [[], ['channel' => 'app']],
+            [['useMicrosecondTimestamps', ['%monolog.use_microseconds%']], ['pushProcessor', [new Reference('TestClass')]]],
+            [],
+        ];
+
+        yield 'with my_channel channel' => [
+            [[], ['channel' => 'my_channel']],
+            [['useMicrosecondTimestamps', ['%monolog.use_microseconds%']]],
+            [['pushProcessor', [new Reference('TestClass')]]],
+        ];
+
+        yield 'with method and no channel' => [
+            [[], ['method' => 'foo']],
+            [['pushProcessor', [[new Reference('TestClass'), 'foo']]], ['useMicrosecondTimestamps', ['%monolog.use_microseconds%']]],
+            [['pushProcessor', [[new Reference('TestClass'), 'foo']]]],
+        ];
+    }
+
     protected function getContainer()
     {
         $container = new ContainerBuilder();