diff --git a/requirements.txt b/requirements.txt
--- a/requirements.txt
+++ b/requirements.txt
@@ -6,6 +6,7 @@
 sphinxcontrib-images
 sphinxcontrib-programoutput
 sphinx-tabs
+sphinx-reredirects
 sphinx_rtd_theme
 sphinx-click
 myst-parser
diff --git a/swh/docs/sphinx/conf.py b/swh/docs/sphinx/conf.py
--- a/swh/docs/sphinx/conf.py
+++ b/swh/docs/sphinx/conf.py
@@ -31,6 +31,7 @@
     "sphinx_click.ext",
     "myst_parser",
     "sphinx.ext.todo",
+    "sphinx_reredirects",
     "swh.docs.sphinx.view_in_phabricator",
 ]
 
@@ -125,6 +126,15 @@
 # refer to the Python standard library.
 intersphinx_mapping = {"python": ("https://docs.python.org/3", None)}
 
+# Redirects for pages that were moved, so we don't break external links.
+# Uses sphinx-reredirects
+redirects = {
+    "swh-deposit/spec-api": "api/api-documentation.html",
+    "swh-deposit/metadata": "api/metadata.html",
+    "swh-deposit/specs/blueprint": "../api/use-cases.html",
+    "swh-deposit/user-manual": "api/user-manual.html",
+}
+
 
 # -- autodoc configuration ----------------------------------------------
 autodoc_default_flags = [