diff --git a/lib/matplotlib/tests/test_animation.py b/lib/matplotlib/tests/test_animation.py
index 2e6fef9ff3f4..b241b916cc0b 100644
--- a/lib/matplotlib/tests/test_animation.py
+++ b/lib/matplotlib/tests/test_animation.py
@@ -197,6 +197,8 @@ def test_animation_repr_html(writer, html, want, anim):
         html = anim._repr_html_()
     if want is None:
         assert html is None
+        with pytest.warns(UserWarning):
+            del anim  # Animtion was never run, so will warn on cleanup.
     else:
         assert want in html
 
diff --git a/lib/matplotlib/tests/test_image.py b/lib/matplotlib/tests/test_image.py
index 5ce4c6a6d843..00ba2552b5bb 100644
--- a/lib/matplotlib/tests/test_image.py
+++ b/lib/matplotlib/tests/test_image.py
@@ -707,7 +707,8 @@ def test_load_from_url():
            + ('///' if sys.platform == 'win32' else '')
            + path.resolve().as_posix())
     plt.imread(url)
-    plt.imread(urllib.request.urlopen(url))
+    with urllib.request.urlopen(url) as file:
+        plt.imread(file)
 
 
 @image_comparison(['log_scale_image'], remove_text=True)