diff --git a/.github/workflows/ci.yaml b/.github/workflows/ci.yaml
index 52c28d714c..0fc8c53653 100644
--- a/.github/workflows/ci.yaml
+++ b/.github/workflows/ci.yaml
@@ -45,6 +45,8 @@ jobs:
 
       - if: ${{ env.IS_MAIN_PYTHON == 'true' }}
         name: Test with coverage
+        env:
+          INTEGRATION_TEST: 1
         uses: liskin/gh-problem-matcher-wrap@v3
         with:
           linters: pytest
diff --git a/test/plugins/test_lyrics.py b/test/plugins/test_lyrics.py
index a58fe4697b..812cc5fb61 100644
--- a/test/plugins/test_lyrics.py
+++ b/test/plugins/test_lyrics.py
@@ -20,6 +20,7 @@
 from http import HTTPStatus
 
 import pytest
+import requests
 
 from beets.library import Item
 from beets.test.helper import PluginMixin
@@ -34,12 +35,6 @@
 _p = pytest.param
 
 
-skip_ci = pytest.mark.skipif(
-    os.environ.get("GITHUB_ACTIONS") == "true",
-    reason="GitHub actions is on some form of Cloudflare blacklist",
-)
-
-
 class TestLyricsUtils:
     def test_search_artist(self):
         item = Item(artist="Alice ft. Bob", title="song")
@@ -276,13 +271,9 @@ def file_name(self):
                     "https://sweetslyrics.com/the-beatles/lady-madonna-lyrics",
                     "https://www.musica.com/letras.asp?letra=59862",
                     "https://www.lacoccinelle.net/259956-the-beatles-lady-madonna.html",
+                    "https://www.azlyrics.com/lyrics/beatles/ladymadonna.html",
                 )
             ),
-            pytest.param(
-                "Lady Madonna",
-                "https://www.azlyrics.com/lyrics/beatles/ladymadonna.html",
-                marks=skip_ci,
-            ),
             (
                 "Jazz'n'blues",
                 "https://www.lyricsontop.com/amy-winehouse-songs/jazz-n-blues-lyrics.html",  # noqa: E501
@@ -350,6 +341,14 @@ class TestGeniusLyrics(LyricsPluginBackendMixin):
     def backend_name(self):
         return "genius"
 
+    @pytest.mark.xfail(
+        bool(os.environ.get("GITHUB_ACTIONS")),
+        reason="Genius returns 403 FORBIDDEN in CI",
+        raises=requests.HTTPError,
+    )
+    def test_backend_source(self, backend):
+        super().test_backend_source(backend)
+
     @pytest.mark.parametrize(
         "file_name, expected_line_count",
         [