diff --git a/fastapi/responses.py b/fastapi/responses.py
index 554b0952b0..a73cc03a3c 100644
--- a/fastapi/responses.py
+++ b/fastapi/responses.py
@@ -1,4 +1,5 @@
-from typing import Any
+import importlib
+from typing import Any, Protocol, cast
 
 from fastapi.exceptions import FastAPIDeprecationWarning
 from fastapi.sse import EventSourceResponse as EventSourceResponse  # noqa
@@ -17,10 +18,17 @@ except ImportError:  # pragma: nocover
     ujson = None  # type: ignore
 
 
+class _OrjsonModule(Protocol):
+    OPT_NON_STR_KEYS: int
+    OPT_SERIALIZE_NUMPY: int
+
+    def dumps(self, __obj: Any, *, option: int = ...) -> bytes: ...
+
+
 try:
-    import orjson
-except ImportError:  # pragma: nocover
-    orjson = None  # type: ignore
+    orjson = cast(_OrjsonModule, importlib.import_module("orjson"))
+except ModuleNotFoundError:  # pragma: nocover
+    orjson = None  # type: ignore  # ty: ignore[unused-ignore-comment]
 
 
 @deprecated(