diff --git a/test/staging/top-level-await/tla-hang-entry.js b/test/language/module-code/top-level-await/module-graphs-does-not-hang.js
similarity index 55%
rename from test/staging/top-level-await/tla-hang-entry.js
rename to test/language/module-code/top-level-await/module-graphs-does-not-hang.js
index 4be921760b..1a54502750 100644
--- a/test/staging/top-level-await/tla-hang-entry.js
+++ b/test/language/module-code/top-level-await/module-graphs-does-not-hang.js
@@ -2,12 +2,12 @@
 // This code is governed by the BSD license found in the LICENSE file.
 
 /*---
-description: module graphs with TLA shouldn't hang
+description: Module graphs with Top-Level Await shouldn't hang.
 flags: [module, async]
 features: [top-level-await]
 ---*/
 
-import "./parent-tla_FIXTURE.js";
-await import("./grandparent-tla_FIXTURE.js");
+import "./module-graphs-parent-tla_FIXTURE.js";
+await import("./module-graphs-grandparent-tla_FIXTURE.js");
 
 $DONE();
diff --git a/test/staging/top-level-await/grandparent-tla_FIXTURE.js b/test/language/module-code/top-level-await/module-graphs-grandparent-tla_FIXTURE.js
similarity index 74%
rename from test/staging/top-level-await/grandparent-tla_FIXTURE.js
rename to test/language/module-code/top-level-await/module-graphs-grandparent-tla_FIXTURE.js
index 174a8ebf73..eafaa3ec3d 100644
--- a/test/staging/top-level-await/grandparent-tla_FIXTURE.js
+++ b/test/language/module-code/top-level-await/module-graphs-grandparent-tla_FIXTURE.js
@@ -1,4 +1,4 @@
 // Copyright (C) 2024 the V8 project authors. All rights reserved.
 // This code is governed by the BSD license found in the LICENSE file.
 
-import "./parent-tla_FIXTURE.js";
+import "./module-graphs-parent-tla_FIXTURE.js";
diff --git a/test/staging/top-level-await/parent-tla_FIXTURE.js b/test/language/module-code/top-level-await/module-graphs-parent-tla_FIXTURE.js
similarity index 100%
rename from test/staging/top-level-await/parent-tla_FIXTURE.js
rename to test/language/module-code/top-level-await/module-graphs-parent-tla_FIXTURE.js
diff --git a/test/staging/top-level-await/tla_FIXTURE.js b/test/language/module-code/top-level-await/tla_FIXTURE.js
similarity index 100%
rename from test/staging/top-level-await/tla_FIXTURE.js
rename to test/language/module-code/top-level-await/tla_FIXTURE.js