diff --git a/.github/workflows/docs-linkcheck.yml b/.github/workflows/docs-linkcheck.yml
index f97d0cbce49..d4b28122840 100644
--- a/.github/workflows/docs-linkcheck.yml
+++ b/.github/workflows/docs-linkcheck.yml
@@ -32,3 +32,10 @@ jobs:
           python -W ignore -m pip install -r requirements-dev-all.txt
       - name: Check Links
         run: sphinx-build docs/source docs/build/html -W --keep-going -j auto -b linkcheck
+      - name: Upload linkcheck output
+        # Run also if the previous steps failed
+        if: always()
+        uses: actions/upload-artifact@6f51ac03b9356f520e9adb1b1b7802705f340c2b # v4.5.0
+        with:
+          name: linkcheck-output
+          path: docs/build/html/output.*
diff --git a/docs/source/conf.py b/docs/source/conf.py
index 09c258c9e92..b00ba68e204 100644
--- a/docs/source/conf.py
+++ b/docs/source/conf.py
@@ -111,6 +111,11 @@
     # Anchors are apparently inserted by GitHub dynamically, so let's skip checking them
     "https://github.com/python-telegram-bot/python-telegram-bot/tree/master/examples#",
     r"https://github\.com/python-telegram-bot/python-telegram-bot/wiki/[\w\-_,]+\#",
+    # The LGPL license link regularly causes network errors for some reason
+    re.escape("https://www.gnu.org/licenses/lgpl-3.0.html"),
+    # The doc-fixes branch may not always exist - doesn't matter, we only link to it from the
+    # contributing guide
+    re.escape("https://docs.python-telegram-bot.org/en/doc-fixes"),
 ]
 linkcheck_allowed_redirects = {
     # Redirects to the default version are okay