diff --git a/CHANGES/13346.bugfix.rst b/CHANGES/13346.bugfix.rst
new file mode 100644
index 00000000000..f074a7b9d21
--- /dev/null
+++ b/CHANGES/13346.bugfix.rst
@@ -0,0 +1 @@
+Avoid eagerly starting the request body writer when a request is sent from a different event loop than the :class:`~aiohttp.ClientSession`.
diff --git a/aiohttp/client_reqrep.py b/aiohttp/client_reqrep.py
index 88934197978..39566526fb5 100644
--- a/aiohttp/client_reqrep.py
+++ b/aiohttp/client_reqrep.py
@@ -982,7 +982,7 @@ async def _send(self, conn: "Connection") -> ClientResponse:
         task: asyncio.Task[None] | None
         if self._should_write(protocol):
             coro = self._write_bytes(writer, conn, self._get_content_length())
-            if sys.version_info >= (3, 12):
+            if sys.version_info >= (3, 12) and self.loop is asyncio.get_running_loop():
                 # Optimization for Python 3.12, try to write
                 # bytes immediately to avoid having to schedule
                 # the task on the event loop.
diff --git a/tests/test_client_request.py b/tests/test_client_request.py
index 0c7fca410f4..558b2de2ef5 100644
--- a/tests/test_client_request.py
+++ b/tests/test_client_request.py
@@ -1070,6 +1070,29 @@ async def test_chunked_empty_body(
     resp.close()
 
 
+async def test_send_does_not_eager_start_writer_from_another_loop(
+    conn: mock.Mock, make_client_request: _RequestMaker
+) -> None:
+    req = make_client_request(
+        "post",
+        URL("http://python.org/"),
+        data=b"foo",
+        loop=asyncio.get_running_loop(),
+    )
+    other_loop = mock.Mock()
+    with (
+        mock.patch(
+            "aiohttp.client_reqrep.asyncio.get_running_loop", return_value=other_loop
+        ),
+        mock.patch("aiohttp.client_reqrep.asyncio.Task") as eager_task,
+    ):
+        resp = await req._send(conn)
+
+    eager_task.assert_not_called()
+    await req._close()
+    resp.close()
+
+
 async def test_chunked_explicit(
     conn: mock.Mock, make_client_request: _RequestMaker
 ) -> None: