diff --git a/source/conf.py b/source/conf.py
index f08f6e836..c73dabdf2 100644
--- a/source/conf.py
+++ b/source/conf.py
@@ -141,11 +141,13 @@
     "https://anaconda.org",
 ]
 linkcheck_retries = 5
-# Ignore anchors for links to GitHub project pages -- GitHub adds anchors from
-# README.md headings through JavaScript, so Sphinx's linkcheck can't find them
-# in the HTML.
+# Ignore anchors for common targets when we know they likely won't be found
 linkcheck_anchors_ignore_for_url = [
+    # GitHub synthesises anchors in JavaScript, so Sphinx can't find them in the HTML
     r"https://github\.com/",
+    # While PyPI has its botscraping defenses active, Sphinx can't resolve the anchors
+    # https://github.com/pypa/packaging.python.org/issues/1744
+    r"https://pypi\.org/",
 ]
 
 # -- Options for extlinks ----------------------------------------------------------