diff --git a/rules-tests/Php81/Rector/Property/ReadOnlyPropertyRector/Fixture/skip_readonly_new_static.php.inc b/rules-tests/Php81/Rector/Property/ReadOnlyPropertyRector/Fixture/skip_readonly_new_static.php.inc
new file mode 100644
index 00000000000..c8bfd2a58cf
--- /dev/null
+++ b/rules-tests/Php81/Rector/Property/ReadOnlyPropertyRector/Fixture/skip_readonly_new_static.php.inc
@@ -0,0 +1,18 @@
+<?php
+
+namespace Rector\Tests\Php81\Rector\Property\ReadOnlyPropertyRector\Fixture;
+
+class SkipReadonlyNewStatic
+{
+    private string $method;
+    
+    public static function create(): static
+    {
+        $self = new static();
+        $self->method = 'hi';
+        $self->method = 'hello';
+        return $self;
+    }
+}
+
+?>
diff --git a/src/PhpParser/NodeFinder/PropertyFetchFinder.php b/src/PhpParser/NodeFinder/PropertyFetchFinder.php
index e82b43e1793..df68d3f15d6 100644
--- a/src/PhpParser/NodeFinder/PropertyFetchFinder.php
+++ b/src/PhpParser/NodeFinder/PropertyFetchFinder.php
@@ -141,10 +141,11 @@ public function isLocalPropertyFetchByName(Expr $expr, Class_|Trait_ $class, str
         }
 
         $type = $this->nodeTypeResolver->getType($expr->var);
-        return $type instanceof FullyQualifiedObjectType && $this->nodeNameResolver->isName(
-            $class,
-            $type->getClassName()
-        );
+        if ($type instanceof \PHPStan\Type\StaticType || $type instanceof FullyQualifiedObjectType) {
+            return $this->nodeNameResolver->isName($class, $type->getClassName());
+        }
+
+        return false;
     }
 
     /**