diff --git a/CHANGES/10093.bugfix.rst b/CHANGES/10093.bugfix.rst
new file mode 100644
index 00000000000..4d7076115d9
--- /dev/null
+++ b/CHANGES/10093.bugfix.rst
@@ -0,0 +1,2 @@
+Update :py:meth:`~aiohttp.ClientSession.request` to reuse the ``quote_cookie`` setting from ``ClientSession._cookie_jar`` when processing cookies parameter.
+-- by :user:`Cycloctane`.
diff --git a/aiohttp/abc.py b/aiohttp/abc.py
index feeb3ad65c9..698ad3cad1b 100644
--- a/aiohttp/abc.py
+++ b/aiohttp/abc.py
@@ -171,6 +171,11 @@ async def close(self) -> None:
 class AbstractCookieJar(Sized, IterableBase):
     """Abstract Cookie Jar."""
 
+    @property
+    @abstractmethod
+    def quote_cookie(self) -> bool:
+        """Return True if cookies should be quoted."""
+
     @abstractmethod
     def clear(self, predicate: Optional[ClearCookiePredicate] = None) -> None:
         """Clear all cookies if no predicate is passed."""
diff --git a/aiohttp/client.py b/aiohttp/client.py
index bc6c0aaaa5d..eabebf469a5 100644
--- a/aiohttp/client.py
+++ b/aiohttp/client.py
@@ -599,7 +599,9 @@ async def _request(
                     all_cookies = self._cookie_jar.filter_cookies(url)
 
                     if cookies is not None:
-                        tmp_cookie_jar = CookieJar()
+                        tmp_cookie_jar = CookieJar(
+                            quote_cookie=self._cookie_jar.quote_cookie
+                        )
                         tmp_cookie_jar.update_cookies(cookies)
                         req_cookies = tmp_cookie_jar.filter_cookies(url)
                         if req_cookies:
diff --git a/aiohttp/cookiejar.py b/aiohttp/cookiejar.py
index 1523bed72ee..158d6d103ab 100644
--- a/aiohttp/cookiejar.py
+++ b/aiohttp/cookiejar.py
@@ -118,6 +118,10 @@ def __init__(
         self._expire_heap: List[Tuple[float, Tuple[str, str, str]]] = []
         self._expirations: Dict[Tuple[str, str, str], float] = {}
 
+    @property
+    def quote_cookie(self) -> bool:
+        return self._quote_cookie
+
     def save(self, file_path: PathLike) -> None:
         file_path = pathlib.Path(file_path)
         with file_path.open(mode="wb") as f:
@@ -471,6 +475,10 @@ def __iter__(self) -> "Iterator[Morsel[str]]":
     def __len__(self) -> int:
         return 0
 
+    @property
+    def quote_cookie(self) -> bool:
+        return True
+
     def clear(self, predicate: Optional[ClearCookiePredicate] = None) -> None:
         pass
 
diff --git a/tests/test_client_session.py b/tests/test_client_session.py
index 1c40505e9e2..20f401020a4 100644
--- a/tests/test_client_session.py
+++ b/tests/test_client_session.py
@@ -696,7 +696,6 @@ async def handler(request: web.Request) -> web.Response:
     assert resp_cookies["response"].value == "resp_value"
 
 
-@pytest.mark.xfail(reason="Reproducer for #9336")
 async def test_cookies_with_not_quoted_cookie_jar(
     aiohttp_server: AiohttpServer,
 ) -> None:
diff --git a/tests/test_cookiejar.py b/tests/test_cookiejar.py
index 0821bcc5fcb..8bf1ecde8cf 100644
--- a/tests/test_cookiejar.py
+++ b/tests/test_cookiejar.py
@@ -831,6 +831,7 @@ async def make_jar() -> CookieJar:
 async def test_dummy_cookie_jar() -> None:
     cookie = SimpleCookie("foo=bar; Domain=example.com;")
     dummy_jar = DummyCookieJar()
+    assert dummy_jar.quote_cookie is True
     assert len(dummy_jar) == 0
     dummy_jar.update_cookies(cookie)
     assert len(dummy_jar) == 0