diff --git a/src/Processors/ExpandEnums.php b/src/Processors/ExpandEnums.php
index 8e712bc54..3169d0308 100644
--- a/src/Processors/ExpandEnums.php
+++ b/src/Processors/ExpandEnums.php
@@ -56,6 +56,15 @@ protected function expandContextEnum(Analysis $analysis): void
                     return ($useName || !($case instanceof \ReflectionEnumBackedCase)) ? $case->name : $case->getBackingValue();
                 }, $re->getCases());
 
+                if (!$useName) {
+                    $schemaX = Generator::isDefault($schema->x) ? [] : $schema->x;
+                    $schemaX['enumNames'] = array_map(function ($case) {
+                        return $case->name;
+                    }, $re->getCases());
+
+                    $schema->x = $schemaX;
+                }
+
                 $schema->type = $useName ? 'string' : $enumType;
 
                 $this->mapNativeType($schema, $schemaType);
diff --git a/tests/Processors/ExpandEnumsTest.php b/tests/Processors/ExpandEnumsTest.php
index 0af7ccae3..49da685cf 100644
--- a/tests/Processors/ExpandEnumsTest.php
+++ b/tests/Processors/ExpandEnumsTest.php
@@ -61,6 +61,15 @@ public function testExpandBackedStringEnum(): void
         $this->assertEquals('string', $schema->type);
     }
 
+    public function testEnumNamesInBackedStringEnum(): void
+    {
+        $analysis = $this->analysisFromFixtures(['PHP/Enums/StatusEnumStringBacked.php']);
+        $analysis->process([new ExpandEnums()]);
+        $schema = $analysis->getSchemaForSource(StatusEnumStringBacked::class);
+
+        $this->assertEquals(['DRAFT', 'PUBLISHED', 'ARCHIVED'], $schema->x['enumNames']);
+    }
+
     public static function expandEnumClassStringFixtures(): iterable
     {
         if (!class_exists('\\ReflectionEnum')) {