diff --git a/homeassistant/components/google_drive/__init__.py b/homeassistant/components/google_drive/__init__.py
index b30bc2ae1f6..d5252bd01ea 100644
--- a/homeassistant/components/google_drive/__init__.py
+++ b/homeassistant/components/google_drive/__init__.py
@@ -7,7 +7,7 @@ from collections.abc import Callable
 from google_drive_api.exceptions import GoogleDriveApiError
 
 from homeassistant.config_entries import ConfigEntry
-from homeassistant.core import HomeAssistant, callback
+from homeassistant.core import HomeAssistant
 from homeassistant.exceptions import ConfigEntryNotReady
 from homeassistant.helpers import instance_id
 from homeassistant.helpers.aiohttp_client import async_get_clientsession
@@ -49,7 +49,11 @@ async def async_setup_entry(hass: HomeAssistant, entry: GoogleDriveConfigEntry)
     except GoogleDriveApiError as err:
         raise ConfigEntryNotReady from err
 
-    _async_notify_backup_listeners_soon(hass)
+    def async_notify_backup_listeners() -> None:
+        for listener in hass.data.get(DATA_BACKUP_AGENT_LISTENERS, []):
+            listener()
+
+    entry.async_on_unload(entry.async_on_state_change(async_notify_backup_listeners))
 
     return True
 
@@ -58,15 +62,4 @@ async def async_unload_entry(
     hass: HomeAssistant, entry: GoogleDriveConfigEntry
 ) -> bool:
     """Unload a config entry."""
-    _async_notify_backup_listeners_soon(hass)
     return True
-
-
-def _async_notify_backup_listeners(hass: HomeAssistant) -> None:
-    for listener in hass.data.get(DATA_BACKUP_AGENT_LISTENERS, []):
-        listener()
-
-
-@callback
-def _async_notify_backup_listeners_soon(hass: HomeAssistant) -> None:
-    hass.loop.call_soon(_async_notify_backup_listeners, hass)
diff --git a/homeassistant/components/onedrive/__init__.py b/homeassistant/components/onedrive/__init__.py
index 6805b073ea2..454c782af92 100644
--- a/homeassistant/components/onedrive/__init__.py
+++ b/homeassistant/components/onedrive/__init__.py
@@ -17,7 +17,7 @@ from onedrive_personal_sdk.exceptions import (
 from onedrive_personal_sdk.models.items import Item, ItemUpdate
 
 from homeassistant.const import CONF_ACCESS_TOKEN, Platform
-from homeassistant.core import HomeAssistant, callback
+from homeassistant.core import HomeAssistant
 from homeassistant.exceptions import ConfigEntryAuthFailed, ConfigEntryNotReady
 from homeassistant.helpers.aiohttp_client import async_get_clientsession
 from homeassistant.helpers.config_entry_oauth2_flow import (
@@ -102,7 +102,6 @@ async def async_setup_entry(hass: HomeAssistant, entry: OneDriveConfigEntry) ->
             translation_key="failed_to_migrate_files",
         ) from err
 
-    _async_notify_backup_listeners_soon(hass)
     await hass.config_entries.async_forward_entry_setups(entry, PLATFORMS)
 
     async def update_listener(hass: HomeAssistant, entry: OneDriveConfigEntry) -> None:
@@ -110,25 +109,20 @@ async def async_setup_entry(hass: HomeAssistant, entry: OneDriveConfigEntry) ->
 
     entry.async_on_unload(entry.add_update_listener(update_listener))
 
+    def async_notify_backup_listeners() -> None:
+        for listener in hass.data.get(DATA_BACKUP_AGENT_LISTENERS, []):
+            listener()
+
+    entry.async_on_unload(entry.async_on_state_change(async_notify_backup_listeners))
+
     return True
 
 
 async def async_unload_entry(hass: HomeAssistant, entry: OneDriveConfigEntry) -> bool:
     """Unload a OneDrive config entry."""
-    _async_notify_backup_listeners_soon(hass)
     return await hass.config_entries.async_unload_platforms(entry, PLATFORMS)
 
 
-def _async_notify_backup_listeners(hass: HomeAssistant) -> None:
-    for listener in hass.data.get(DATA_BACKUP_AGENT_LISTENERS, []):
-        listener()
-
-
-@callback
-def _async_notify_backup_listeners_soon(hass: HomeAssistant) -> None:
-    hass.loop.call_soon(_async_notify_backup_listeners, hass)
-
-
 async def _migrate_backup_files(client: OneDriveClient, backup_folder_id: str) -> None:
     """Migrate backup files to metadata version 2."""
     files = await client.list_drive_items(backup_folder_id)
diff --git a/homeassistant/components/synology_dsm/__init__.py b/homeassistant/components/synology_dsm/__init__.py
index 97095f5d299..1b26b7df84d 100644
--- a/homeassistant/components/synology_dsm/__init__.py
+++ b/homeassistant/components/synology_dsm/__init__.py
@@ -11,7 +11,7 @@ from synology_dsm.exceptions import SynologyDSMNotLoggedInException
 
 from homeassistant.config_entries import ConfigEntry
 from homeassistant.const import CONF_MAC, CONF_SCAN_INTERVAL, CONF_VERIFY_SSL
-from homeassistant.core import HomeAssistant, callback
+from homeassistant.core import HomeAssistant
 from homeassistant.exceptions import ConfigEntryNotReady
 from homeassistant.helpers import device_registry as dr
 
@@ -131,7 +131,14 @@ async def async_setup_entry(hass: HomeAssistant, entry: ConfigEntry) -> bool:
     entry.async_on_unload(entry.add_update_listener(_async_update_listener))
 
     if entry.options[CONF_BACKUP_SHARE]:
-        _async_notify_backup_listeners_soon(hass)
+
+        def async_notify_backup_listeners() -> None:
+            for listener in hass.data.get(DATA_BACKUP_AGENT_LISTENERS, []):
+                listener()
+
+        entry.async_on_unload(
+            entry.async_on_state_change(async_notify_backup_listeners)
+        )
 
     return True
 
@@ -142,20 +149,9 @@ async def async_unload_entry(hass: HomeAssistant, entry: ConfigEntry) -> bool:
         entry_data: SynologyDSMData = hass.data[DOMAIN][entry.unique_id]
         await entry_data.api.async_unload()
         hass.data[DOMAIN].pop(entry.unique_id)
-    _async_notify_backup_listeners_soon(hass)
     return unload_ok
 
 
-def _async_notify_backup_listeners(hass: HomeAssistant) -> None:
-    for listener in hass.data.get(DATA_BACKUP_AGENT_LISTENERS, []):
-        listener()
-
-
-@callback
-def _async_notify_backup_listeners_soon(hass: HomeAssistant) -> None:
-    hass.loop.call_soon(_async_notify_backup_listeners, hass)
-
-
 async def _async_update_listener(hass: HomeAssistant, entry: ConfigEntry) -> None:
     """Handle options update."""
     await hass.config_entries.async_reload(entry.entry_id)