diff --git a/homeassistant/core.py b/homeassistant/core.py
index 47c05442eed..6aaab452e39 100644
--- a/homeassistant/core.py
+++ b/homeassistant/core.py
@@ -2293,6 +2293,7 @@ class ServiceRegistry:
             self._hass.async_create_task(
                 self._run_service_call_catch_exceptions(coro, service_call),
                 f"service call background {service_call.domain}.{service_call.service}",
+                eager_start=True,
             )
             return None
 
diff --git a/tests/components/androidtv_remote/test_media_player.py b/tests/components/androidtv_remote/test_media_player.py
index efb3fa97a22..0e9013550c2 100644
--- a/tests/components/androidtv_remote/test_media_player.py
+++ b/tests/components/androidtv_remote/test_media_player.py
@@ -1,5 +1,4 @@
 """Tests for the Android TV Remote remote platform."""
-import asyncio
 from unittest.mock import MagicMock, call
 
 from androidtvremote2 import ConnectionClosed
@@ -237,7 +236,7 @@ async def test_media_player_play_media(
     )
 
     # Give background task time to run
-    await asyncio.sleep(0)
+    await hass.async_block_till_done()
 
     await hass.services.async_call(
         "media_player",
@@ -249,7 +248,11 @@ async def test_media_player_play_media(
         },
         blocking=True,
     )
-    assert mock_api.send_key_command.call_count == 2
+    await hass.async_block_till_done()
+
+    # 4 7s should be sent
+    # 2 1s should be sent
+    assert mock_api.send_key_command.call_count == 6
 
     await hass.services.async_call(
         "media_player",
diff --git a/tests/components/hassio/test_init.py b/tests/components/hassio/test_init.py
index 1c1197131c0..7d0943b3677 100644
--- a/tests/components/hassio/test_init.py
+++ b/tests/components/hassio/test_init.py
@@ -615,6 +615,7 @@ async def test_service_calls(
 
     # check backup with different timezone
     await hass.config.async_update(time_zone="Europe/London")
+    await hass.async_block_till_done()
 
     await hass.services.async_call(
         "hassio",
diff --git a/tests/components/rflink/test_light.py b/tests/components/rflink/test_light.py
index 75d2566f336..5ee2375bc36 100644
--- a/tests/components/rflink/test_light.py
+++ b/tests/components/rflink/test_light.py
@@ -4,7 +4,6 @@ Test setup of RFLink lights component/platform. State tracking and
 control of RFLink switch devices.
 
 """
-import asyncio
 
 from homeassistant.components.light import ATTR_BRIGHTNESS
 from homeassistant.components.rflink import EVENT_BUTTON_PRESSED
@@ -281,19 +280,21 @@ async def test_signal_repetitions_cancelling(hass: HomeAssistant, monkeypatch) -
 
     # setup mocking rflink module
     _, _, protocol, _ = await mock_rflink(hass, config, DOMAIN, monkeypatch)
+    await hass.async_block_till_done()
 
     await hass.services.async_call(
         DOMAIN, SERVICE_TURN_OFF, {ATTR_ENTITY_ID: f"{DOMAIN}.test"}
     )
+    await hass.async_block_till_done()
 
-    # Get background service time to start running
-    await asyncio.sleep(0)
     await hass.services.async_call(
         DOMAIN, SERVICE_TURN_ON, {ATTR_ENTITY_ID: f"{DOMAIN}.test"}, blocking=True
     )
     await hass.async_block_till_done()
 
     assert [call[0][1] for call in protocol.send_command_ack.call_args_list] == [
+        "off",
+        "off",
         "off",
         "on",
         "on",