diff --git a/fastapi/dependencies/utils.py b/fastapi/dependencies/utils.py
index 23bca6f2a..2abae433b 100644
--- a/fastapi/dependencies/utils.py
+++ b/fastapi/dependencies/utils.py
@@ -211,7 +211,12 @@ def get_flat_params(dependant: Dependant) -> List[ModelField]:
 
 def get_typed_signature(call: Callable[..., Any]) -> inspect.Signature:
     if sys.version_info >= (3, 10):
-        signature = inspect.signature(call, eval_str=True)
+        try:
+            signature = inspect.signature(call, eval_str=True)
+        except NameError:
+            # Handle type annotations with if TYPE_CHECKING, not used by FastAPI
+            # e.g. dependency return types
+            signature = inspect.signature(call)
     else:
         signature = inspect.signature(call)
     unwrapped = inspect.unwrap(call)
@@ -240,7 +245,12 @@ def get_typed_annotation(annotation: Any, globalns: Dict[str, Any]) -> Any:
 
 def get_typed_return_annotation(call: Callable[..., Any]) -> Any:
     if sys.version_info >= (3, 10):
-        signature = inspect.signature(call, eval_str=True)
+        try:
+            signature = inspect.signature(call, eval_str=True)
+        except NameError:
+            # Handle type annotations with if TYPE_CHECKING, not used by FastAPI
+            # e.g. dependency return types
+            signature = inspect.signature(call)
     else:
         signature = inspect.signature(call)
     unwrapped = inspect.unwrap(call)