diff --git a/config/sets/composer-based.php b/config/sets/composer-based.php
index 7e210c47..2e90d7ca 100644
--- a/config/sets/composer-based.php
+++ b/config/sets/composer-based.php
@@ -23,6 +23,7 @@
 use Rector\PHPUnit\PHPUnit100\Rector\Class_\ParentTestClassConstructorRector;
 use Rector\PHPUnit\PHPUnit100\Rector\Class_\PublicDataProviderClassMethodRector;
 use Rector\PHPUnit\PHPUnit100\Rector\Class_\StaticDataProviderClassMethodRector;
+use Rector\PHPUnit\PHPUnit100\Rector\MethodCall\PropertyExistsWithoutAssertRector;
 use Rector\PHPUnit\PHPUnit100\Rector\MethodCall\RemoveSetMethodsMethodCallRector;
 use Rector\PHPUnit\PHPUnit100\Rector\StmtsAwareInterface\WithConsecutiveRector;
 use Rector\PHPUnit\PHPUnit110\Rector\CallLike\AssertContainsOnlyMethodCallRector;
@@ -148,6 +149,7 @@
         AddProphecyTraitRector::class,
         WithConsecutiveRector::class,
         RemoveSetMethodsMethodCallRector::class,
+        PropertyExistsWithoutAssertRector::class,
         ParentTestClassConstructorRector::class,
 
         // PHPUnit 11.0
diff --git a/rules-tests/PHPUnit100/Rector/MethodCall/PropertyExistsWithoutAssertRector/Fixture/assert_object_has_attribute.php.inc b/rules-tests/PHPUnit100/Rector/MethodCall/PropertyExistsWithoutAssertRector/Fixture/assert_object_has_attribute.php.inc
deleted file mode 100644
index 865ad4ae..00000000
--- a/rules-tests/PHPUnit100/Rector/MethodCall/PropertyExistsWithoutAssertRector/Fixture/assert_object_has_attribute.php.inc
+++ /dev/null
@@ -1,31 +0,0 @@
-<?php
-
-namespace Rector\PHPUnit\Tests\PHPUnit100\Rector\MethodCall\PropertyExistsWithoutAssertRector\Fixture;
-
-use PHPUnit\Framework\TestCase;
-
-final class AssertObjectHasAttribute extends TestCase
-{
-    public function test(object $someObject)
-    {
-        $this->assertObjectHasAttribute('property', $someObject);
-    }
-}
-
-?>
------
-<?php
-
-namespace Rector\PHPUnit\Tests\PHPUnit100\Rector\MethodCall\PropertyExistsWithoutAssertRector\Fixture;
-
-use PHPUnit\Framework\TestCase;
-
-final class AssertObjectHasAttribute extends TestCase
-{
-    public function test(object $someObject)
-    {
-        $this->assertTrue(property_exists($someObject, 'property'));
-    }
-}
-
-?>
diff --git a/rules-tests/PHPUnit100/Rector/MethodCall/PropertyExistsWithoutAssertRector/Fixture/skip_assert_object_has_attribute.php.inc b/rules-tests/PHPUnit100/Rector/MethodCall/PropertyExistsWithoutAssertRector/Fixture/skip_assert_object_has_attribute.php.inc
new file mode 100644
index 00000000..446dd0e9
--- /dev/null
+++ b/rules-tests/PHPUnit100/Rector/MethodCall/PropertyExistsWithoutAssertRector/Fixture/skip_assert_object_has_attribute.php.inc
@@ -0,0 +1,17 @@
+<?php
+
+namespace Rector\PHPUnit\Tests\PHPUnit100\Rector\MethodCall\PropertyExistsWithoutAssertRector\Fixture;
+
+use PHPUnit\Framework\TestCase;
+
+final class SkipAssertObjectHasAttribute extends TestCase
+{
+    public function test(object $someObject)
+    {
+        // has a direct replacement in assertObjectHasProperty(), renamed by the composer-based set
+        $this->assertObjectHasAttribute('property', $someObject);
+        $this->assertObjectNotHasAttribute('property', $someObject);
+    }
+}
+
+?>
diff --git a/rules/PHPUnit100/Rector/MethodCall/PropertyExistsWithoutAssertRector.php b/rules/PHPUnit100/Rector/MethodCall/PropertyExistsWithoutAssertRector.php
index 2cfcce44..faffda21 100644
--- a/rules/PHPUnit100/Rector/MethodCall/PropertyExistsWithoutAssertRector.php
+++ b/rules/PHPUnit100/Rector/MethodCall/PropertyExistsWithoutAssertRector.php
@@ -34,16 +34,18 @@ public function provideComposerPackageConstraint(): ComposerPackageConstraint
     }
 
     /**
+     * The assertObjectHasAttribute() and assertObjectNotHasAttribute() methods are left out on purpose,
+     * as they have a direct replacement in assertObjectHasProperty() and assertObjectNotHasProperty().
+     * Those renames are handled by RenameMethodRector in the composer-based set.
+     *
      * @var array<string, string>
      */
     private const array RENAME_METHODS_WITH_OBJECT_MAP = [
         'assertClassHasAttribute' => 'assertTrue',
-        'assertObjectHasAttribute' => 'assertTrue',
         'assertClassHasStaticAttribute' => 'assertTrue',
         // false
         'assertClassNotHasStaticAttribute' => 'assertFalse',
         'assertClassNotHasAttribute' => 'assertFalse',
-        'assertObjectNotHasAttribute' => 'assertFalse',
         // no assert
         'objectHasAttribute' => 'assertTrue',
         'classHasAttribute' => 'assertTrue',