diff --git a/homeassistant/config_entries.py b/homeassistant/config_entries.py
index cb99d6f944a..fc37b23d497 100644
--- a/homeassistant/config_entries.py
+++ b/homeassistant/config_entries.py
@@ -22,6 +22,8 @@ from random import randint
 from types import MappingProxyType
 from typing import TYPE_CHECKING, Any, Self, TypeVar, cast
 
+from async_interrupt import interrupt
+
 from . import data_entry_flow, loader
 from .components import persistent_notification
 from .const import EVENT_HOMEASSISTANT_STARTED, EVENT_HOMEASSISTANT_STOP, Platform
@@ -948,6 +950,10 @@ current_entry: ContextVar[ConfigEntry | None] = ContextVar(
 )
 
 
+class FlowCancelledError(Exception):
+    """Error to indicate that a flow has been cancelled."""
+
+
 class ConfigEntriesFlowManager(data_entry_flow.FlowManager):
     """Manage all the config entry flows that are in progress."""
 
@@ -962,7 +968,7 @@ class ConfigEntriesFlowManager(data_entry_flow.FlowManager):
         self.config_entries = config_entries
         self._hass_config = hass_config
         self._pending_import_flows: dict[str, dict[str, asyncio.Future[None]]] = {}
-        self._initialize_tasks: dict[str, list[asyncio.Task]] = {}
+        self._initialize_futures: dict[str, list[asyncio.Future[None]]] = {}
         self._discovery_debouncer = Debouncer(
             hass,
             _LOGGER,
@@ -994,20 +1000,26 @@ class ConfigEntriesFlowManager(data_entry_flow.FlowManager):
             raise KeyError("Context not set or doesn't have a source set")
 
         flow_id = uuid_util.random_uuid_hex()
+        loop = self.hass.loop
+
         if context["source"] == SOURCE_IMPORT:
-            init_done: asyncio.Future[None] = self.hass.loop.create_future()
-            self._pending_import_flows.setdefault(handler, {})[flow_id] = init_done
-
-        task = asyncio.create_task(
-            self._async_init(flow_id, handler, context, data),
-            name=f"config entry flow {handler} {flow_id}",
-        )
-        self._initialize_tasks.setdefault(handler, []).append(task)
+            self._pending_import_flows.setdefault(handler, {})[
+                flow_id
+            ] = loop.create_future()
 
+        cancel_init_future = loop.create_future()
+        self._initialize_futures.setdefault(handler, []).append(cancel_init_future)
         try:
-            flow, result = await task
+            async with interrupt(
+                cancel_init_future,
+                FlowCancelledError,
+                "Config entry initialize canceled: Home Assistant is shutting down",
+            ):
+                flow, result = await self._async_init(flow_id, handler, context, data)
+        except FlowCancelledError as ex:
+            raise asyncio.CancelledError from ex
         finally:
-            self._initialize_tasks[handler].remove(task)
+            self._initialize_futures[handler].remove(cancel_init_future)
             self._pending_import_flows.get(handler, {}).pop(flow_id, None)
 
         if result["type"] != data_entry_flow.FlowResultType.ABORT:
@@ -1042,11 +1054,9 @@ class ConfigEntriesFlowManager(data_entry_flow.FlowManager):
 
     async def async_shutdown(self) -> None:
         """Cancel any initializing flows."""
-        for task_list in self._initialize_tasks.values():
-            for task in task_list:
-                task.cancel(
-                    "Config entry initialize canceled: Home Assistant is shutting down"
-                )
+        for future_list in self._initialize_futures.values():
+            for future in future_list:
+                future.set_result(None)
         await self._discovery_debouncer.async_shutdown()
 
     async def async_finish_flow(
diff --git a/homeassistant/package_constraints.txt b/homeassistant/package_constraints.txt
index 747ec5c9a43..610845c7b29 100644
--- a/homeassistant/package_constraints.txt
+++ b/homeassistant/package_constraints.txt
@@ -7,6 +7,7 @@ aiohttp-zlib-ng==0.3.1
 aiohttp==3.9.3
 aiohttp_cors==0.7.0
 astral==2.2
+async-interrupt==1.1.1
 async-upnp-client==0.38.2
 atomicwrites-homeassistant==1.4.1
 attrs==23.2.0
diff --git a/pyproject.toml b/pyproject.toml
index 6cef9b36ebf..c3e4b17e712 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -28,6 +28,7 @@ dependencies    = [
     "aiohttp-fast-url-dispatcher==0.3.0",
     "aiohttp-zlib-ng==0.3.1",
     "astral==2.2",
+    "async-interrupt==1.1.1",
     "attrs==23.2.0",
     "atomicwrites-homeassistant==1.4.1",
     "awesomeversion==24.2.0",
diff --git a/requirements.txt b/requirements.txt
index 9bdc71b0388..1fd6e5f9f08 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -8,6 +8,7 @@ aiohttp_cors==0.7.0
 aiohttp-fast-url-dispatcher==0.3.0
 aiohttp-zlib-ng==0.3.1
 astral==2.2
+async-interrupt==1.1.1
 attrs==23.2.0
 atomicwrites-homeassistant==1.4.1
 awesomeversion==24.2.0