diff --git a/rules-tests/CodeQuality/Rector/CallLike/AddNameToBooleanArgumentRector/Fixture/skip_session_set_save_handler.php.inc b/rules-tests/CodeQuality/Rector/CallLike/AddNameToBooleanArgumentRector/Fixture/skip_session_set_save_handler.php.inc
new file mode 100644
index 00000000000..fc345ef92a0
--- /dev/null
+++ b/rules-tests/CodeQuality/Rector/CallLike/AddNameToBooleanArgumentRector/Fixture/skip_session_set_save_handler.php.inc
@@ -0,0 +1,5 @@
+<?php
+
+namespace Rector\Tests\CodeQuality\Rector\CallLike\AddNameToBooleanArgumentRector\Fixture;
+
+\session_set_save_handler(new \SessionHandler(), true);
diff --git a/src/NodeAnalyzer/CallLikeArgumentNameAdder.php b/src/NodeAnalyzer/CallLikeArgumentNameAdder.php
index d1718cff9da..4e69315ac8d 100644
--- a/src/NodeAnalyzer/CallLikeArgumentNameAdder.php
+++ b/src/NodeAnalyzer/CallLikeArgumentNameAdder.php
@@ -17,6 +17,14 @@
 
 final readonly class CallLikeArgumentNameAdder
 {
+    /**
+     * Internal functions that reflection reports as named-argument capable,
+     * but reject named arguments at runtime due to alternate signatures.
+     *
+     * @var string[]
+     */
+    private const array NO_NAMED_ARGUMENTS_FUNCTION_NAMES = ['session_set_save_handler'];
+
     public function __construct(
         private ReflectionResolver $reflectionResolver,
     ) {
@@ -44,6 +52,14 @@ public function addNamesToArgs(CallLike $callLike, callable $shouldNameArgValue)
             return null;
         }
 
+        if ($reflection instanceof FunctionReflection && in_array(
+            $reflection->getName(),
+            self::NO_NAMED_ARGUMENTS_FUNCTION_NAMES,
+            true
+        )) {
+            return null;
+        }
+
         $scope = ScopeFetcher::fetch($callLike);
         $args = $callLike->getArgs();
         $parameters = ParametersAcceptorSelectorVariantsWrapper::select($reflection, $callLike, $scope)