diff --git a/supervisor/addons/addon.py b/supervisor/addons/addon.py
index 6c5b69430..41f46513a 100644
--- a/supervisor/addons/addon.py
+++ b/supervisor/addons/addon.py
@@ -888,7 +888,11 @@ class Addon(AddonModel):
         if event.name != self.instance.name:
             return
 
-        if event.state == ContainerState.RUNNING:
+        if event.state in [
+            ContainerState.RUNNING,
+            ContainerState.HEALTHY,
+            ContainerState.UNHEALTHY,
+        ]:
             self.state = AddonState.STARTED
         elif event.state == ContainerState.STOPPED:
             self.state = AddonState.STOPPED
diff --git a/tests/addons/test_addon.py b/tests/addons/test_addon.py
index f3b1fabc7..bebd03f17 100644
--- a/tests/addons/test_addon.py
+++ b/tests/addons/test_addon.py
@@ -99,6 +99,18 @@ async def test_addon_state_listener(coresys: CoreSys, install_addon_ssh: Addon)
         await asyncio.sleep(0)
         assert install_addon_ssh.state == AddonState.STOPPED
 
+        coresys.bus.fire_event(
+            BusEvent.DOCKER_CONTAINER_STATE_CHANGE,
+            DockerContainerStateEvent(
+                name=f"addon_{TEST_ADDON_SLUG}",
+                state=ContainerState.HEALTHY,
+                id="abc123",
+                time=1,
+            ),
+        )
+        await asyncio.sleep(0)
+        assert install_addon_ssh.state == AddonState.STARTED
+
         coresys.bus.fire_event(
             BusEvent.DOCKER_CONTAINER_STATE_CHANGE,
             DockerContainerStateEvent(