diff --git a/fastapi/dependencies/models.py b/fastapi/dependencies/models.py
index 2a4d9a010..61cfbcb0a 100644
--- a/fastapi/dependencies/models.py
+++ b/fastapi/dependencies/models.py
@@ -15,6 +15,19 @@ else:  # pragma: no cover
     from asyncio import iscoroutinefunction
 
 
+def _unwrapped_call(call: Optional[Callable[..., Any]]) -> Optional[Callable[..., Any]]:
+    if call is None:
+        return call  # pragma: no cover
+    unwrapped = inspect.unwrap(_impartial(call))
+    return unwrapped
+
+
+def _impartial(func: Callable[..., Any]) -> Callable[..., Any]:
+    while isinstance(func, partial):
+        func = func.func
+    return func
+
+
 @dataclass
 class SecurityRequirement:
     security_scheme: SecurityBase
@@ -75,37 +88,57 @@ class Dependant:
                 return True
         return False
 
-    @cached_property
-    def _unwrapped_call(self) -> Any:
-        if self.call is None:
-            return self.call  # pragma: no cover
-        unwrapped = inspect.unwrap(self.call)
-        if isinstance(unwrapped, partial):
-            unwrapped = unwrapped.func
-        return unwrapped
-
     @cached_property
     def is_gen_callable(self) -> bool:
-        if inspect.isgeneratorfunction(self._unwrapped_call):
+        if self.call is None:
+            return False
+        if inspect.isgeneratorfunction(
+            _impartial(self.call)
+        ) or inspect.isgeneratorfunction(_unwrapped_call(self.call)):
             return True
-        dunder_call = getattr(self._unwrapped_call, "__call__", None)  # noqa: B004
-        return inspect.isgeneratorfunction(dunder_call)
+        dunder_call = getattr(_impartial(self.call), "__call__", None)  # noqa: B004
+        if dunder_call is None:
+            return False
+        return inspect.isgeneratorfunction(
+            _impartial(dunder_call)
+        ) or inspect.isgeneratorfunction(_unwrapped_call(dunder_call))
 
     @cached_property
     def is_async_gen_callable(self) -> bool:
-        if inspect.isasyncgenfunction(self._unwrapped_call):
+        if self.call is None:
+            return False
+        if inspect.isasyncgenfunction(
+            _impartial(self.call)
+        ) or inspect.isasyncgenfunction(_unwrapped_call(self.call)):
             return True
-        dunder_call = getattr(self._unwrapped_call, "__call__", None)  # noqa: B004
-        return inspect.isasyncgenfunction(dunder_call)
+        dunder_call = getattr(_impartial(self.call), "__call__", None)  # noqa: B004
+        if dunder_call is None:
+            return False
+        return inspect.isasyncgenfunction(
+            _impartial(dunder_call)
+        ) or inspect.isasyncgenfunction(_unwrapped_call(dunder_call))
 
     @cached_property
     def is_coroutine_callable(self) -> bool:
-        if inspect.isroutine(self._unwrapped_call):
-            return iscoroutinefunction(self._unwrapped_call)
-        if inspect.isclass(self._unwrapped_call):
+        if self.call is None:
             return False
-        dunder_call = getattr(self._unwrapped_call, "__call__", None)  # noqa: B004
-        return iscoroutinefunction(dunder_call)
+        if inspect.isroutine(_impartial(self.call)) and iscoroutinefunction(
+            _impartial(self.call)
+        ):
+            return True
+        if inspect.isroutine(_unwrapped_call(self.call)) and iscoroutinefunction(
+            _unwrapped_call(self.call)
+        ):
+            return True
+        dunder_call = getattr(_impartial(self.call), "__call__", None)  # noqa: B004
+        if dunder_call is None:
+            return False
+        if iscoroutinefunction(_impartial(dunder_call)) or iscoroutinefunction(
+            _unwrapped_call(dunder_call)
+        ):
+            return True
+        # if inspect.isclass(self.call): False, covered by default return
+        return False
 
     @cached_property
     def computed_scope(self) -> Union[str, None]: