diff --git a/docs/source/_static/api.html b/docs/source/_static/api.html
index 7819ecf1e6..87a5aa4521 100644
--- a/docs/source/_static/api.html
+++ b/docs/source/_static/api.html
@@ -15,24 +15,67 @@
         margin: 0;
         padding: 0;
       }
+      /*
+       * ReadTheDocs injects its version selector which is confusing on
+       * this page since it doesn't affect the API version. So we hide it.
+       */
+      readthedocs-flyout {
+        display: none;
+      }
+      /* Our own version selector. */
+      #versionSelect {
+        position: fixed;
+        /*
+         * Like the ReadTheDocs selector we put it in the bottom-right corner.
+         * When the browser is narrow ReDoc puts its menu button in the same corner,
+         * the position here is chosen not to overlap with that.
+         */
+        bottom: 14px;
+        right: 14px;
+        z-index: 99;
+      }
     </style>
   </head>
   <body>
     <script src="https://cdn.jsdelivr.net/npm/redoc@next/bundles/redoc.standalone.js"> </script>
+    <select id="versionSelect" aria-label="Version">
+      <option>latest</option>
+    </select>
     <div id="redoc-container"></div>
-    <script>
+    <script type="module">
+      const versionSelect = document.getElementById("versionSelect");
+      const resp = await fetch("versions.json");
+      const versions = await resp.json();
+      for (const version of versions) {
+        const opt = document.createElement("option");
+        opt.textContent = "v" + version;
+        versionSelect.append(opt);
+      }
       // get version from query (default to latest)
       var queryString = window.location.search;
       var query = new URLSearchParams(queryString);
       var version = "latest";
       if (query.has("version")) {
-        version = query.get("version");
+        versionSelect.value = query.get("version");
       }
 
-      Redoc.init("https://storage.googleapis.com/libpod-master-releases/swagger-" + version + ".yaml", {
-        sortPropsAlphabetically: true,
-        sortOperationsAlphabetically: true,
-      }, document.getElementById("redoc-container"));
+      function load() {
+        // Note: We replace the whole container element because otherwise Redoc.init calls
+        // after the initial Redoc.init call take a second rather than just a few ms.
+        let redocContainer = document.createElement('div');
+        redocContainer.id = 'redoc-container';
+        let oldContainer =  document.getElementById("redoc-container");
+        oldContainer.parentNode.replaceChild(redocContainer, oldContainer);
+
+        Redoc.init("https://storage.googleapis.com/libpod-master-releases/swagger-" + versionSelect.value + ".yaml", {
+          sortPropsAlphabetically: true,
+          sortOperationsAlphabetically: true,
+        }, redocContainer);
+        history.pushState(null, '', '?version=' + versionSelect.value);
+        document.title = 'Reference ' + versionSelect.value;
+      }
+      load();
+      versionSelect.addEventListener('change', load);
     </script>
   </body>
 </html>
