diff --git a/homeassistant/config_entries.py b/homeassistant/config_entries.py
index 9f5f6b9135b..212d0322af6 100644
--- a/homeassistant/config_entries.py
+++ b/homeassistant/config_entries.py
@@ -1072,7 +1072,7 @@ class ConfigEntry:
         task = hass.async_create_task(
             target, f"{name} {self.title} {self.domain} {self.entry_id}", eager_start
         )
-        if task.done():
+        if eager_start and task.done():
             return task
         self._tasks.add(task)
         task.add_done_callback(self._tasks.remove)