diff --git a/homeassistant/components/climate/__init__.py b/homeassistant/components/climate/__init__.py
index bc81ce6e241..98500d97eb7 100644
--- a/homeassistant/components/climate/__init__.py
+++ b/homeassistant/components/climate/__init__.py
@@ -377,6 +377,14 @@ class ClimateEntity(Entity, cached_properties=CACHED_PROPERTIES_WITH_ATTR_):
             # Return if integration has migrated already
             return
 
+        supported_features = self.supported_features
+        if supported_features & (
+            ClimateEntityFeature.TURN_ON | ClimateEntityFeature.TURN_ON
+        ):
+            # The entity supports both turn_on and turn_off, the backwards compatibility
+            # checks are not needed
+            return
+
         supported_features = self.supported_features
         if not supported_features & ClimateEntityFeature.TURN_OFF and (
             type(self).async_turn_off is not ClimateEntity.async_turn_off
diff --git a/tests/components/climate/test_init.py b/tests/components/climate/test_init.py
index a459b991203..4756c265aea 100644
--- a/tests/components/climate/test_init.py
+++ b/tests/components/climate/test_init.py
@@ -709,6 +709,68 @@ async def test_no_warning_integration_has_migrated(
     )
 
 
+async def test_no_warning_integration_implement_feature_flags(
+    hass: HomeAssistant, caplog: pytest.LogCaptureFixture, config_flow_fixture: None
+) -> None:
+    """Test no warning when integration uses the correct feature flags."""
+
+    class MockClimateEntityTest(MockClimateEntity):
+        """Mock Climate device."""
+
+        _attr_supported_features = (
+            ClimateEntityFeature.FAN_MODE
+            | ClimateEntityFeature.PRESET_MODE
+            | ClimateEntityFeature.SWING_MODE
+            | ClimateEntityFeature.TURN_OFF
+            | ClimateEntityFeature.TURN_ON
+        )
+
+    async def async_setup_entry_init(
+        hass: HomeAssistant, config_entry: ConfigEntry
+    ) -> bool:
+        """Set up test config entry."""
+        await hass.config_entries.async_forward_entry_setups(config_entry, [DOMAIN])
+        return True
+
+    async def async_setup_entry_climate_platform(
+        hass: HomeAssistant,
+        config_entry: ConfigEntry,
+        async_add_entities: AddEntitiesCallback,
+    ) -> None:
+        """Set up test climate platform via config entry."""
+        async_add_entities(
+            [MockClimateEntityTest(name="test", entity_id="climate.test")]
+        )
+
+    mock_integration(
+        hass,
+        MockModule(
+            "test",
+            async_setup_entry=async_setup_entry_init,
+        ),
+        built_in=False,
+    )
+    mock_platform(
+        hass,
+        "test.climate",
+        MockPlatform(async_setup_entry=async_setup_entry_climate_platform),
+    )
+
+    with patch.object(
+        MockClimateEntityTest, "__module__", "tests.custom_components.climate.test_init"
+    ):
+        config_entry = MockConfigEntry(domain="test")
+        config_entry.add_to_hass(hass)
+        assert await hass.config_entries.async_setup(config_entry.entry_id)
+        await hass.async_block_till_done()
+
+    state = hass.states.get("climate.test")
+    assert state is not None
+
+    assert "does not set ClimateEntityFeature" not in caplog.text
+    assert "implements HVACMode(s):" not in caplog.text
+
+
 async def test_turn_on_off_toggle(hass: HomeAssistant) -> None:
     """Test turn_on/turn_off/toggle methods."""