diff --git a/rules-tests/CodingStyle/Rector/FunctionLike/FunctionLikeToFirstClassCallableRector/Fixture/skip_param_used_as_invokable.php.inc b/rules-tests/CodingStyle/Rector/FunctionLike/FunctionLikeToFirstClassCallableRector/Fixture/skip_param_used_as_invokable.php.inc
new file mode 100644
index 00000000000..381d53d883a
--- /dev/null
+++ b/rules-tests/CodingStyle/Rector/FunctionLike/FunctionLikeToFirstClassCallableRector/Fixture/skip_param_used_as_invokable.php.inc
@@ -0,0 +1,14 @@
+<?php
+
+namespace Rector\Tests\CodingStyle\Rector\FunctionLike\FunctionLikeToFirstClassCallableRector\Fixture;
+
+final readonly class SkipParamUsedAsInvokable {
+    public function __construct(private string $name, private object $object) {}
+    public function render(callable $formatter): string
+    {
+        return $formatter($this->name, $this->object);
+    }
+}
+
+$obj = new SkipParamUsedAsInvokable('name', new \stdClass());
+$obj->render(fn(string $label, object $object): string => ucfirst($label));
diff --git a/rules-tests/CodingStyle/Rector/FunctionLike/FunctionLikeToFirstClassCallableRector/Fixture/skip_param_used_as_invokable_from_new.php.inc b/rules-tests/CodingStyle/Rector/FunctionLike/FunctionLikeToFirstClassCallableRector/Fixture/skip_param_used_as_invokable_from_new.php.inc
new file mode 100644
index 00000000000..6ae020856a4
--- /dev/null
+++ b/rules-tests/CodingStyle/Rector/FunctionLike/FunctionLikeToFirstClassCallableRector/Fixture/skip_param_used_as_invokable_from_new.php.inc
@@ -0,0 +1,15 @@
+<?php
+
+namespace Rector\Tests\CodingStyle\Rector\FunctionLike\FunctionLikeToFirstClassCallableRector\Fixture;
+
+final readonly class SkipParamUsedAsInvokableFromNew {
+    public function __construct(
+        private string $name,
+        private object $object,
+        callable $formatter
+    ) {
+        $formatter($this->name, $this->object);
+    }
+}
+
+$obj = new SkipParamUsedAsInvokableFromNew('name', new \stdClass(), fn(string $label, object $object): string => ucfirst($label));
diff --git a/rules/CodingStyle/Rector/FunctionLike/FunctionLikeToFirstClassCallableRector.php b/rules/CodingStyle/Rector/FunctionLike/FunctionLikeToFirstClassCallableRector.php
index 9041cc32385..6a218786982 100644
--- a/rules/CodingStyle/Rector/FunctionLike/FunctionLikeToFirstClassCallableRector.php
+++ b/rules/CodingStyle/Rector/FunctionLike/FunctionLikeToFirstClassCallableRector.php
@@ -27,6 +27,7 @@
 use PHPStan\Type\CallableType;
 use Rector\NodeTypeResolver\PHPStan\ParametersAcceptorSelectorVariantsWrapper;
 use Rector\PhpParser\AstResolver;
+use Rector\PhpParser\Node\BetterNodeFinder;
 use Rector\PHPStan\ScopeFetcher;
 use Rector\Rector\AbstractRector;
 use Rector\Reflection\ReflectionResolver;
@@ -47,7 +48,8 @@ final class FunctionLikeToFirstClassCallableRector extends AbstractRector implem
 
     public function __construct(
         private readonly AstResolver $astResolver,
-        private readonly ReflectionResolver $reflectionResolver
+        private readonly ReflectionResolver $reflectionResolver,
+        private readonly BetterNodeFinder $betterNodeFinder
     ) {
     }
 
@@ -112,14 +114,35 @@ public function refactor(Node $node): null|CallLike
                         return null;
                     }
 
+                    $classMethodOrFunction = $this->astResolver->resolveClassMethodOrFunctionFromCall($node);
                     foreach ($reflection->getParameters() as $index => $parameterReflection) {
-                        if ($index === $key
-                            && $parameterReflection->getType() instanceof CallableType
+                        if ($index !== $key) {
+                            continue;
+                        }
+
+                        if ($parameterReflection->getType() instanceof CallableType
                             && count($parameterReflection->getType()->getParameters()) > 1
                         ) {
                             $args[$key]->value->setAttribute(self::HAS_CALLBACK_SIGNATURE_MULTI_PARAMS, true);
                             return null;
                         }
+
+                        if ($classMethodOrFunction instanceof FunctionLike) {
+                            $parameterName = $parameterReflection->getName();
+
+                            $isInvokable = (bool) $this->betterNodeFinder->findFirstInFunctionLikeScoped(
+                                $classMethodOrFunction,
+                                fn (Node $node): bool => $node instanceof FuncCall
+                                && $node->name instanceof Variable
+                                && $this->isName($node->name, $parameterName)
+                                && count($node->args) > 1
+                            );
+
+                            if ($isInvokable) {
+                                $args[$key]->value->setAttribute(self::HAS_CALLBACK_SIGNATURE_MULTI_PARAMS, true);
+                                return null;
+                            }
+                        }
                     }
                 }
             }
diff --git a/src/PhpParser/AstResolver.php b/src/PhpParser/AstResolver.php
index 0e85c338d3e..392b22b2f29 100644
--- a/src/PhpParser/AstResolver.php
+++ b/src/PhpParser/AstResolver.php
@@ -8,6 +8,7 @@
 use PhpParser\Node\Expr;
 use PhpParser\Node\Expr\FuncCall;
 use PhpParser\Node\Expr\MethodCall;
+use PhpParser\Node\Expr\New_;
 use PhpParser\Node\Expr\NullsafeMethodCall;
 use PhpParser\Node\Expr\StaticCall;
 use PhpParser\Node\Name;
@@ -111,7 +112,7 @@ function (Node $node) use ($classLikeName, $methodName, &$classMethod): bool {
     }
 
     public function resolveClassMethodOrFunctionFromCall(
-        FuncCall | StaticCall | MethodCall $call
+        FuncCall | StaticCall | MethodCall | New_ $call
     ): ClassMethod | Function_ | null {
         if ($call instanceof FuncCall) {
             return $this->resolveFunctionFromFuncCall($call);
@@ -165,8 +166,21 @@ public function resolveClassMethod(string $className, string $methodName): ?Clas
         return $classMethod;
     }
 
-    public function resolveClassMethodFromCall(MethodCall | StaticCall | NullsafeMethodCall $call): ?ClassMethod
+    public function resolveClassMethodFromCall(MethodCall | StaticCall | NullsafeMethodCall | New_ $call): ?ClassMethod
     {
+        if ($call instanceof New_) {
+            if ($call->class instanceof Class_) {
+                return null;
+            }
+
+            $className = $this->nodeNameResolver->getName($call->class);
+            if ($className === null) {
+                return null;
+            }
+
+            return $this->resolveClassMethod($className, MethodName::CONSTRUCT);
+        }
+
         $callerStaticType = ($call instanceof MethodCall || $call instanceof NullsafeMethodCall)
             ? $this->nodeTypeResolver->getType($call->var)
             : $this->nodeTypeResolver->getType($call->class);