diff --git a/sphinx/builders/__init__.py b/sphinx/builders/__init__.py
index e70d1956c98..6ca77c4bc2b 100644
--- a/sphinx/builders/__init__.py
+++ b/sphinx/builders/__init__.py
@@ -347,7 +347,7 @@ def build(
             with progress_message(__('checking consistency')):
                 self.env.check_consistency()
         else:
-            if method == 'update' and not docnames:
+            if method == 'update' and (not docnames or docnames == ['__all__']):
                 logger.info(bold(__('no targets are out of date.')))
                 return
 
diff --git a/tests/test_build_html.py b/tests/test_build_html.py
index 138f8a9c129..0d19de4cae7 100644
--- a/tests/test_build_html.py
+++ b/tests/test_build_html.py
@@ -633,7 +633,6 @@ def test_tocdepth(app, cached_etree_parse, fname, expect):
     ],
 }))
 @pytest.mark.sphinx('singlehtml', testroot='tocdepth')
-@pytest.mark.test_params(shared_result='test_build_html_tocdepth')
 def test_tocdepth_singlehtml(app, cached_etree_parse, fname, expect):
     app.build()
     check_xpath(cached_etree_parse(app.outdir / fname), fname, *expect)
@@ -1138,7 +1137,6 @@ def test_numfig_with_secnum_depth(app, cached_etree_parse, fname, expect):
     ],
 }))
 @pytest.mark.sphinx('singlehtml', testroot='numfig', confoverrides={'numfig': True})
-@pytest.mark.test_params(shared_result='test_build_html_numfig_on')
 def test_numfig_with_singlehtml(app, cached_etree_parse, fname, expect):
     app.build()
     check_xpath(cached_etree_parse(app.outdir / fname), fname, *expect)
diff --git a/tests/test_build_manpage.py b/tests/test_build_manpage.py
index 8509684d179..6390cd9bab5 100644
--- a/tests/test_build_manpage.py
+++ b/tests/test_build_manpage.py
@@ -42,7 +42,7 @@ def test_man_pages_empty_description(app, status, warning):
 @pytest.mark.sphinx('man', testroot='basic',
                     confoverrides={'man_make_section_directory': True})
 def test_man_make_section_directory(app, status, warning):
-    app.build()
+    app.build(True)
     assert (app.outdir / 'man1' / 'python.1').exists()
 
 
diff --git a/tests/test_build_texinfo.py b/tests/test_build_texinfo.py
index b33a7e01fc3..8a65801ca3a 100644
--- a/tests/test_build_texinfo.py
+++ b/tests/test_build_texinfo.py
@@ -60,7 +60,7 @@ def test_texinfo(app, status, warning):
 
 @pytest.mark.sphinx('texinfo', testroot='markup-rubric')
 def test_texinfo_rubric(app, status, warning):
-    app.build()
+    app.build(True)
 
     output = (app.outdir / 'python.texi').read_text(encoding='utf8')
     assert '@heading This is a rubric' in output