diff --git a/pyproject.toml b/pyproject.toml
index 1804cc27b..2293a3c68 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -225,6 +225,8 @@ empty_parameter_set_mark = "xfail"
 filterwarnings = [
     "all",
     "ignore::DeprecationWarning:docutils.io",
+    "ignore:Distutils was imported before Setuptools:UserWarning:_distutils_hack",
+    "ignore:Setuptools is replacing distutils:UserWarning:_distutils_hack",
     "ignore::DeprecationWarning:pyximport.pyximport",
     "ignore::ImportWarning:importlib._bootstrap",
 ]
diff --git a/tests/test_builders/test_build_html.py b/tests/test_builders/test_build_html.py
index 7c6d7e868..0d88645d9 100644
--- a/tests/test_builders/test_build_html.py
+++ b/tests/test_builders/test_build_html.py
@@ -6,6 +6,7 @@ import re
 import pytest
 
 from sphinx.builders.html import validate_html_extra_path, validate_html_static_path
+from sphinx.deprecation import RemovedInSphinx80Warning
 from sphinx.errors import ConfigError
 from sphinx.util.inventory import InventoryFile
 
@@ -341,7 +342,8 @@ def test_validate_html_extra_path(app):
         app.outdir,                 # outdir
         app.outdir / '_static',     # inside outdir
     ]
-    validate_html_extra_path(app, app.config)
+    with pytest.warns(RemovedInSphinx80Warning, match='Use "pathlib.Path" or "os.fspath" instead'):
+        validate_html_extra_path(app, app.config)
     assert app.config.html_extra_path == ['_static']
 
 
@@ -354,7 +356,8 @@ def test_validate_html_static_path(app):
         app.outdir,                 # outdir
         app.outdir / '_static',     # inside outdir
     ]
-    validate_html_static_path(app, app.config)
+    with pytest.warns(RemovedInSphinx80Warning, match='Use "pathlib.Path" or "os.fspath" instead'):
+        validate_html_static_path(app, app.config)
     assert app.config.html_static_path == ['_static']
 
 
diff --git a/tests/test_builders/test_build_linkcheck.py b/tests/test_builders/test_build_linkcheck.py
index 164a08dbd..06f027b8c 100644
--- a/tests/test_builders/test_build_linkcheck.py
+++ b/tests/test_builders/test_build_linkcheck.py
@@ -24,6 +24,7 @@ from sphinx.builders.linkcheck import (
     HyperlinkAvailabilityCheckWorker,
     RateLimit,
 )
+from sphinx.deprecation import RemovedInSphinx80Warning
 from sphinx.testing.util import strip_escseq
 from sphinx.util import requests
 
@@ -413,7 +414,10 @@ def test_unauthorized_broken(app):
     'linkcheck', testroot='linkcheck-localserver', freshenv=True,
     confoverrides={'linkcheck_auth': [(r'^$', ('user1', 'password'))]})
 def test_auth_header_no_match(app):
-    with http_server(custom_handler(valid_credentials=("user1", "password"))):
+    with (
+        http_server(custom_handler(valid_credentials=("user1", "password"))),
+        pytest.warns(RemovedInSphinx80Warning, match='linkcheck builder encountered an HTTP 401'),
+    ):
         app.build()
 
     with open(app.outdir / "output.json", encoding="utf-8") as fp: