diff --git a/fastapi/responses.py b/fastapi/responses.py
index 0c9caa4d04..2ab6b7dba3 100644
--- a/fastapi/responses.py
+++ b/fastapi/responses.py
@@ -61,7 +61,7 @@ class UJSONResponse(JSONResponse):
     separately, e.g. `pip install ujson`.
     """
 
-    def render(self, content: Any) -> bytes:
+    def render(self, content: Any) -> bytes:  # pragma: nocover
         assert ujson is not None, "ujson must be installed to use UJSONResponse"
         return ujson.dumps(content, ensure_ascii=False).encode("utf-8")
 
@@ -91,7 +91,7 @@ class ORJSONResponse(JSONResponse):
     separately, e.g. `pip install orjson`.
     """
 
-    def render(self, content: Any) -> bytes:
+    def render(self, content: Any) -> bytes:  # pragma: nocover
         assert orjson is not None, "orjson must be installed to use ORJSONResponse"
         return orjson.dumps(
             content, option=orjson.OPT_NON_STR_KEYS | orjson.OPT_SERIALIZE_NUMPY
diff --git a/tests/test_responses_optional_imports.py b/tests/test_responses_optional_imports.py
index 654df93e5d..44a98eef40 100644
--- a/tests/test_responses_optional_imports.py
+++ b/tests/test_responses_optional_imports.py
@@ -12,8 +12,10 @@ def test_optional_imports_broken_installation(monkeypatch: pytest.MonkeyPatch) -
     real_import_module = importlib.import_module
 
     def fake_import_module(name: str, package: str | None = None) -> Any:
-        if name in ("ujson", "orjson"):
-            raise ImportError(f"simulated binary/load failure for {name}")
+        if name == "ujson":
+            raise ImportError("simulated binary/load failure for ujson")  # pragma: no cover
+        if name == "orjson":
+            raise ImportError("simulated binary/load failure for orjson")  # pragma: no cover
         return real_import_module(name, package)
 
     monkeypatch.setattr(importlib, "import_module", fake_import_module)
@@ -23,6 +25,9 @@ def test_optional_imports_broken_installation(monkeypatch: pytest.MonkeyPatch) -
     # Force a reload to ensure the module initialization runs with our monkeypatch
     try:
         importlib.reload(fastapi.responses)
+        # Verify that the fallback worked and they are now None
+        assert fastapi.responses.ujson is None
+        assert fastapi.responses.orjson is None
     finally:
         # Revert the monkeypatch manually early so we can restore the module
         monkeypatch.undo()