diff --git a/homeassistant/core.py b/homeassistant/core.py
index 056774a2adc..ae5c9119738 100644
--- a/homeassistant/core.py
+++ b/homeassistant/core.py
@@ -855,7 +855,7 @@ class HomeAssistant:
         # https://github.com/home-assistant/core/pull/71960
         if TYPE_CHECKING:
             target = cast(Callable[..., Coroutine[Any, Any, _R] | _R], target)
-        return self.async_run_hass_job(HassJob(target), *args)
+        return self.async_run_hass_job(HassJob(target), *args, eager_start=True)
 
     def block_till_done(self) -> None:
         """Block until all pending work is done."""
diff --git a/tests/test_core.py b/tests/test_core.py
index 1d6f2830925..99490fe4365 100644
--- a/tests/test_core.py
+++ b/tests/test_core.py
@@ -2116,6 +2116,20 @@ async def test_async_functions_with_callback(hass: HomeAssistant) -> None:
     assert len(runs) == 3
 
 
+async def test_async_run_job_starts_tasks_eagerly(hass: HomeAssistant) -> None:
+    """Test async_run_job starts tasks eagerly."""
+    runs = []
+
+    async def _test():
+        runs.append(True)
+
+    task = hass.async_run_job(_test)
+    # No call to hass.async_block_till_done to ensure the task is run eagerly
+    assert len(runs) == 1
+    assert task.done()
+    await task
+
+
 def test_valid_entity_id() -> None:
     """Test valid entity ID."""
     for invalid in [