diff --git a/fastapi/dependencies/utils.py b/fastapi/dependencies/utils.py
index 081b63a8b..77005df09 100644
--- a/fastapi/dependencies/utils.py
+++ b/fastapi/dependencies/utils.py
@@ -551,11 +551,15 @@ def is_gen_callable(call: Callable[..., Any]) -> bool:
 
 
 async def solve_generator(
-    *, call: Callable[..., Any], stack: AsyncExitStack, sub_values: Dict[str, Any]
+    *,
+    call: Callable[..., Any],
+    unwrapped_call: Callable[..., Any],
+    stack: AsyncExitStack,
+    sub_values: Dict[str, Any],
 ) -> Any:
-    if is_gen_callable(call):
+    if is_gen_callable(unwrapped_call):
         cm = contextmanager_in_threadpool(contextmanager(call)(**sub_values))
-    elif is_async_gen_callable(call):
+    elif is_async_gen_callable(unwrapped_call):
         cm = asynccontextmanager(call)(**sub_values)
     return await stack.enter_async_context(cm)
 
@@ -628,13 +632,17 @@ async def solve_dependencies(
         if solved_result.errors:
             errors.extend(solved_result.errors)
             continue
+        unwrapped_call = inspect.unwrap(call)
         if sub_dependant.use_cache and sub_dependant.cache_key in dependency_cache:
             solved = dependency_cache[sub_dependant.cache_key]
-        elif is_gen_callable(call) or is_async_gen_callable(call):
+        elif is_gen_callable(unwrapped_call) or is_async_gen_callable(unwrapped_call):
             solved = await solve_generator(
-                call=call, stack=async_exit_stack, sub_values=solved_result.values
+                call=call,
+                unwrapped_call=unwrapped_call,
+                stack=async_exit_stack,
+                sub_values=solved_result.values,
             )
-        elif is_coroutine_callable(call):
+        elif is_coroutine_callable(unwrapped_call):
             solved = await call(**solved_result.values)
         else:
             solved = await run_in_threadpool(call, **solved_result.values)
diff --git a/tests/test_dependency_wrapped.py b/tests/test_dependency_wrapped.py
new file mode 100644
index 000000000..f581ccba4
--- /dev/null
+++ b/tests/test_dependency_wrapped.py
@@ -0,0 +1,77 @@
+from functools import wraps
+from typing import AsyncGenerator, Generator
+
+import pytest
+from fastapi import Depends, FastAPI
+from fastapi.testclient import TestClient
+
+
+def noop_wrap(func):
+    @wraps(func)
+    def wrapper(*args, **kwargs):
+        return func(*args, **kwargs)
+
+    return wrapper
+
+
+app = FastAPI()
+
+
+@noop_wrap
+def wrapped_dependency() -> bool:
+    return True
+
+
+@noop_wrap
+def wrapped_gen_dependency() -> Generator[bool, None, None]:
+    yield True
+
+
+@noop_wrap
+async def async_wrapped_dependency() -> bool:
+    return True
+
+
+@noop_wrap
+async def async_wrapped_gen_dependency() -> AsyncGenerator[bool, None]:
+    yield True
+
+
+@app.get("/wrapped-dependency/")
+async def get_wrapped_dependency(value: bool = Depends(wrapped_dependency)):
+    return value
+
+
+@app.get("/wrapped-gen-dependency/")
+async def get_wrapped_gen_dependency(value: bool = Depends(wrapped_gen_dependency)):
+    return value
+
+
+@app.get("/async-wrapped-dependency/")
+async def get_async_wrapped_dependency(value: bool = Depends(async_wrapped_dependency)):
+    return value
+
+
+@app.get("/async-wrapped-gen-dependency/")
+async def get_async_wrapped_gen_dependency(
+    value: bool = Depends(async_wrapped_gen_dependency),
+):
+    return value
+
+
+client = TestClient(app)
+
+
+@pytest.mark.parametrize(
+    "route",
+    [
+        "/wrapped-dependency",
+        "/wrapped-gen-dependency",
+        "/async-wrapped-dependency",
+        "/async-wrapped-gen-dependency",
+    ],
+)
+def test_class_dependency(route):
+    response = client.get(route)
+    assert response.status_code == 200, response.text
+    assert response.json() is True