diff --git a/rules-tests/TypeDeclaration/Rector/ClassMethod/StrictArrayParamDimFetchRector/Fixture/skip_private_method_called_with_array_access_arg.php.inc b/rules-tests/TypeDeclaration/Rector/ClassMethod/StrictArrayParamDimFetchRector/Fixture/skip_private_method_called_with_array_access_arg.php.inc
new file mode 100644
index 00000000000..7c341dee1ae
--- /dev/null
+++ b/rules-tests/TypeDeclaration/Rector/ClassMethod/StrictArrayParamDimFetchRector/Fixture/skip_private_method_called_with_array_access_arg.php.inc
@@ -0,0 +1,19 @@
+<?php
+
+namespace Rector\Tests\TypeDeclaration\Rector\ClassMethod\StrictArrayParamDimFetchRector\Fixture;
+
+use ArrayAccess;
+
+class SkipPrivateMethodCalledWithArrayAccessArg
+{
+    public function run(ArrayAccess $arrayAccess, array $data): void
+    {
+        $this->isTrue($arrayAccess);
+        $this->isTrue($data);
+    }
+
+    private function isTrue($value): bool
+    {
+        return $value['asdf'] === true;
+    }
+}
diff --git a/rules/TypeDeclaration/Rector/ClassMethod/StrictArrayParamDimFetchRector.php b/rules/TypeDeclaration/Rector/ClassMethod/StrictArrayParamDimFetchRector.php
index 696e72cc064..e44dcc82d16 100644
--- a/rules/TypeDeclaration/Rector/ClassMethod/StrictArrayParamDimFetchRector.php
+++ b/rules/TypeDeclaration/Rector/ClassMethod/StrictArrayParamDimFetchRector.php
@@ -19,6 +19,7 @@
 use PhpParser\Node\Expr\Instanceof_;
 use PhpParser\Node\Expr\MethodCall;
 use PhpParser\Node\Expr\PropertyFetch;
+use PhpParser\Node\Expr\StaticCall;
 use PhpParser\Node\Expr\StaticPropertyFetch;
 use PhpParser\Node\Expr\Variable;
 use PhpParser\Node\FunctionLike;
@@ -35,6 +36,7 @@
 use PHPStan\Type\UnionType;
 use Rector\NodeTypeResolver\PHPStan\Type\TypeFactory;
 use Rector\NodeTypeResolver\TypeComparator\TypeComparator;
+use Rector\PhpParser\Node\BetterNodeFinder;
 use Rector\Rector\AbstractRector;
 use Rector\RuleDoc\CodeSample\CodeSample;
 use Rector\RuleDoc\RuleDefinition;
@@ -48,7 +50,8 @@ final class StrictArrayParamDimFetchRector extends AbstractRector
     public function __construct(
         private readonly ParentClassMethodTypeOverrideGuard $parentClassMethodTypeOverrideGuard,
         private readonly TypeComparator $typeComparator,
-        private readonly TypeFactory $typeFactory
+        private readonly TypeFactory $typeFactory,
+        private readonly BetterNodeFinder $betterNodeFinder
     ) {
     }
 
@@ -111,7 +114,7 @@ public function refactor(Node $node): ?Node
             return null;
         }
 
-        foreach ($node->getParams() as $param) {
+        foreach ($node->getParams() as $position => $param) {
             if ($param->type instanceof Node) {
                 continue;
             }
@@ -128,6 +131,15 @@ public function refactor(Node $node): ?Node
                 continue;
             }
 
+            // a private method is only reachable from inside the class, so all its callers are visible here;
+            // skip if any of them passes an ArrayAccess object, which also supports dim fetch
+            if ($node instanceof ClassMethod && $node->isPrivate() && $this->isCalledWithArrayAccessArg(
+                $node,
+                $position
+            )) {
+                continue;
+            }
+
             $param->type = new Identifier('array');
             $hasChanged = true;
         }
@@ -339,6 +351,51 @@ private function isMethodCall(string $paramName, ?Node $node): bool
         return false;
     }
 
+    private function isCalledWithArrayAccessArg(ClassMethod $classMethod, int $position): bool
+    {
+        $class = $this->findClassOfMethod($classMethod);
+        if (! $class instanceof Class_) {
+            return false;
+        }
+
+        $methodName = $this->getName($classMethod);
+
+        $calls = $this->betterNodeFinder->findInstancesOf($class->getMethods(), [MethodCall::class, StaticCall::class]);
+
+        return array_any(
+            $calls,
+            function (MethodCall|StaticCall $call) use ($methodName, $position): bool {
+                if ($call->isFirstClassCallable()) {
+                    return false;
+                }
+
+                if (! $this->isName($call->name, $methodName)) {
+                    return false;
+                }
+
+                $args = $call->getArgs();
+                if (! isset($args[$position])) {
+                    return false;
+                }
+
+                return $this->isArrayAccess($this->getType($args[$position]->value));
+            }
+        );
+    }
+
+    private function findClassOfMethod(ClassMethod $classMethod): ?Class_
+    {
+        $classes = $this->betterNodeFinder->findInstanceOf($this->getFile()->getNewStmts(), Class_::class);
+
+        foreach ($classes as $class) {
+            if (in_array($classMethod, $class->getMethods(), true)) {
+                return $class;
+            }
+        }
+
+        return null;
+    }
+
     private function isArrayAccess(Type $type): bool
     {
         if (! $type instanceof ObjectType) {