diff --git a/homeassistant/components/teslemetry/__init__.py b/homeassistant/components/teslemetry/__init__.py
index 7657e5a9c28b..9dc0d4d0f9d4 100644
--- a/homeassistant/components/teslemetry/__init__.py
+++ b/homeassistant/components/teslemetry/__init__.py
@@ -871,7 +871,7 @@ async def async_setup_entry(hass: HomeAssistant, entry: TeslemetryConfigEntry) -
         if energysites:
             entry.async_on_unload(
                 stream.async_add_connection_listener(
-                    create_handle_energy_stream_connection(energysites)
+                    create_handle_energy_stream_connection(hass, energysites)
                 )
             )
 
@@ -907,6 +907,7 @@ def _setup_subentry_change_reload(
 
 
 def create_handle_energy_stream_connection(
+    hass: HomeAssistant,
     energysites: list[TeslemetryEnergyData],
 ) -> Callable[[bool], None]:
     """Create a stream connection listener for the energy coordinators."""
@@ -918,7 +919,8 @@ def create_handle_energy_stream_connection(
         Each subsequent streamed document restores its coordinator via
         async_set_updated_data, so no reload is required on reconnect.
         """
-        if connected:
+        # Stopping cancels the listen task, which reports a disconnect.
+        if connected or hass.is_stopping:
             return
         error = UpdateFailed(
             translation_domain=DOMAIN,
diff --git a/tests/components/teslemetry/test_init.py b/tests/components/teslemetry/test_init.py
index 655c75a0e146..417e5c99ad98 100644
--- a/tests/components/teslemetry/test_init.py
+++ b/tests/components/teslemetry/test_init.py
@@ -2131,6 +2131,38 @@ async def test_energy_stream_unload_unsubscribes_and_closes_stream(
     mock_close.assert_called_once()
 
 
+async def test_energy_stream_stop_does_not_fail_coordinators(
+    hass: HomeAssistant,
+    caplog: pytest.LogCaptureFixture,
+    mock_stream_listen: MagicMock,
+    mock_add_connection_listener: MagicMock,
+    mock_energy_totals_stream: MagicMock,
+) -> None:
+    """Stopping Home Assistant does not fail the energy coordinators."""
+
+    async def listen() -> None:
+        # Like the library, report a disconnect when the listen task ends.
+        try:
+            await asyncio.Event().wait()
+        finally:
+            mock_add_connection_listener.send(False)
+
+    mock_stream_listen.side_effect = listen
+    await setup_platform(hass, [Platform.SENSOR, Platform.CALENDAR])
+    mock_energy_totals_stream.send()
+    await hass.async_block_till_done()
+    assert hass.states.get("sensor.energy_site_solar_power").state == "1.185"
+    assert hass.states.get("calendar.energy_site_buy_tariff").state != STATE_UNAVAILABLE
+    assert hass.states.get("sensor.energy_site_battery_discharged").state == "0.036"
+
+    await hass.async_stop()
+
+    assert hass.states.get("sensor.energy_site_solar_power").state == "1.185"
+    assert hass.states.get("calendar.energy_site_buy_tariff").state != STATE_UNAVAILABLE
+    assert hass.states.get("sensor.energy_site_battery_discharged").state == "0.036"
+    assert "Disconnected from the Teslemetry stream" not in caplog.text
+
+
 async def test_energy_stream_disconnect_marks_unavailable_and_recovers(
     hass: HomeAssistant,
     mock_add_connection_listener: MagicMock,