diff --git a/fastapi/dependencies/utils.py b/fastapi/dependencies/utils.py
index 081b63a8b..247b07bab 100644
--- a/fastapi/dependencies/utils.py
+++ b/fastapi/dependencies/utils.py
@@ -2,6 +2,7 @@ import inspect
 from contextlib import AsyncExitStack, contextmanager
 from copy import copy, deepcopy
 from dataclasses import dataclass
+from functools import partial
 from typing import (
     Any,
     Callable,
@@ -528,10 +529,10 @@ def add_param_to_fields(*, field: ModelField, dependant: Dependant) -> None:
 
 
 def is_coroutine_callable(call: Callable[..., Any]) -> bool:
-    if inspect.isroutine(call):
-        return inspect.iscoroutinefunction(call)
-    if inspect.isclass(call):
-        return False
+    if inspect.iscoroutinefunction(call):
+        return True
+    if isinstance(call, partial):
+        return is_coroutine_callable(call.func)
     dunder_call = getattr(call, "__call__", None)  # noqa: B004
     return inspect.iscoroutinefunction(dunder_call)
 
@@ -539,6 +540,8 @@ def is_coroutine_callable(call: Callable[..., Any]) -> bool:
 def is_async_gen_callable(call: Callable[..., Any]) -> bool:
     if inspect.isasyncgenfunction(call):
         return True
+    if isinstance(call, partial):
+        return is_async_gen_callable(call.func)
     dunder_call = getattr(call, "__call__", None)  # noqa: B004
     return inspect.isasyncgenfunction(dunder_call)
 
@@ -546,6 +549,8 @@ def is_async_gen_callable(call: Callable[..., Any]) -> bool:
 def is_gen_callable(call: Callable[..., Any]) -> bool:
     if inspect.isgeneratorfunction(call):
         return True
+    if isinstance(call, partial):
+        return is_gen_callable(call.func)
     dunder_call = getattr(call, "__call__", None)  # noqa: B004
     return inspect.isgeneratorfunction(dunder_call)
 
diff --git a/tests/test_dependency_partial.py b/tests/test_dependency_partial.py
new file mode 100644
index 000000000..5caffeec1
--- /dev/null
+++ b/tests/test_dependency_partial.py
@@ -0,0 +1,217 @@
+from functools import partial
+from typing import AsyncGenerator, Generator
+
+import pytest
+from fastapi import Depends, FastAPI
+from fastapi.testclient import TestClient
+
+app = FastAPI()
+
+
+def function_dependency(value: str) -> str:
+    return value
+
+
+async def async_function_dependency(value: str) -> str:
+    return value
+
+
+def gen_dependency(value: str) -> Generator[str, None, None]:
+    yield value
+
+
+async def async_gen_dependency(value: str) -> AsyncGenerator[str, None]:
+    yield value
+
+
+class CallableDependency:
+    def __call__(self, value: str) -> str:
+        return value
+
+
+class CallableGenDependency:
+    def __call__(self, value: str) -> Generator[str, None, None]:
+        yield value
+
+
+class AsyncCallableDependency:
+    async def __call__(self, value: str) -> str:
+        return value
+
+
+class AsyncCallableGenDependency:
+    async def __call__(self, value: str) -> AsyncGenerator[str, None]:
+        yield value
+
+
+class MethodsDependency:
+    def synchronous(self, value: str) -> str:
+        return value
+
+    async def asynchronous(self, value: str) -> str:
+        return value
+
+    def synchronous_gen(self, value: str) -> Generator[str, None, None]:
+        yield value
+
+    async def asynchronous_gen(self, value: str) -> AsyncGenerator[str, None]:
+        yield value
+
+
+callable_dependency = CallableDependency()
+callable_gen_dependency = CallableGenDependency()
+async_callable_dependency = AsyncCallableDependency()
+async_callable_gen_dependency = AsyncCallableGenDependency()
+methods_dependency = MethodsDependency()
+
+
+@app.get("/partial-function-dependency")
+async def get_partial_function_dependency(
+    value: str = Depends(partial(function_dependency, "partial-function-dependency")),
+) -> str:
+    return value
+
+
+@app.get("/partial-async-function-dependency")
+async def get_partial_async_function_dependency(
+    value: str = Depends(
+        partial(async_function_dependency, "partial-async-function-dependency")
+    ),
+) -> str:
+    return value
+
+
+@app.get("/partial-gen-dependency")
+async def get_partial_gen_dependency(
+    value: str = Depends(partial(gen_dependency, "partial-gen-dependency")),
+) -> str:
+    return value
+
+
+@app.get("/partial-async-gen-dependency")
+async def get_partial_async_gen_dependency(
+    value: str = Depends(partial(async_gen_dependency, "partial-async-gen-dependency")),
+) -> str:
+    return value
+
+
+@app.get("/partial-callable-dependency")
+async def get_partial_callable_dependency(
+    value: str = Depends(partial(callable_dependency, "partial-callable-dependency")),
+) -> str:
+    return value
+
+
+@app.get("/partial-callable-gen-dependency")
+async def get_partial_callable_gen_dependency(
+    value: str = Depends(
+        partial(callable_gen_dependency, "partial-callable-gen-dependency")
+    ),
+) -> str:
+    return value
+
+
+@app.get("/partial-async-callable-dependency")
+async def get_partial_async_callable_dependency(
+    value: str = Depends(
+        partial(async_callable_dependency, "partial-async-callable-dependency")
+    ),
+) -> str:
+    return value
+
+
+@app.get("/partial-async-callable-gen-dependency")
+async def get_partial_async_callable_gen_dependency(
+    value: str = Depends(
+        partial(async_callable_gen_dependency, "partial-async-callable-gen-dependency")
+    ),
+) -> str:
+    return value
+
+
+@app.get("/partial-synchronous-method-dependency")
+async def get_partial_synchronous_method_dependency(
+    value: str = Depends(
+        partial(methods_dependency.synchronous, "partial-synchronous-method-dependency")
+    ),
+) -> str:
+    return value
+
+
+@app.get("/partial-synchronous-method-gen-dependency")
+async def get_partial_synchronous_method_gen_dependency(
+    value: str = Depends(
+        partial(
+            methods_dependency.synchronous_gen,
+            "partial-synchronous-method-gen-dependency",
+        )
+    ),
+) -> str:
+    return value
+
+
+@app.get("/partial-asynchronous-method-dependency")
+async def get_partial_asynchronous_method_dependency(
+    value: str = Depends(
+        partial(
+            methods_dependency.asynchronous, "partial-asynchronous-method-dependency"
+        )
+    ),
+) -> str:
+    return value
+
+
+@app.get("/partial-asynchronous-method-gen-dependency")
+async def get_partial_asynchronous_method_gen_dependency(
+    value: str = Depends(
+        partial(
+            methods_dependency.asynchronous_gen,
+            "partial-asynchronous-method-gen-dependency",
+        )
+    ),
+) -> str:
+    return value
+
+
+client = TestClient(app)
+
+
+@pytest.mark.parametrize(
+    "route,value",
+    [
+        ("/partial-function-dependency", "partial-function-dependency"),
+        (
+            "/partial-async-function-dependency",
+            "partial-async-function-dependency",
+        ),
+        ("/partial-gen-dependency", "partial-gen-dependency"),
+        ("/partial-async-gen-dependency", "partial-async-gen-dependency"),
+        ("/partial-callable-dependency", "partial-callable-dependency"),
+        ("/partial-callable-gen-dependency", "partial-callable-gen-dependency"),
+        ("/partial-async-callable-dependency", "partial-async-callable-dependency"),
+        (
+            "/partial-async-callable-gen-dependency",
+            "partial-async-callable-gen-dependency",
+        ),
+        (
+            "/partial-synchronous-method-dependency",
+            "partial-synchronous-method-dependency",
+        ),
+        (
+            "/partial-synchronous-method-gen-dependency",
+            "partial-synchronous-method-gen-dependency",
+        ),
+        (
+            "/partial-asynchronous-method-dependency",
+            "partial-asynchronous-method-dependency",
+        ),
+        (
+            "/partial-asynchronous-method-gen-dependency",
+            "partial-asynchronous-method-gen-dependency",
+        ),
+    ],
+)
+def test_dependency_types_with_partial(route: str, value: str) -> None:
+    response = client.get(route)
+    assert response.status_code == 200, response.text
+    assert response.json() == value