diff --git a/assets/src/bundles/origin/visits-reporting.js b/assets/src/bundles/origin/visits-reporting.js
--- a/assets/src/bundles/origin/visits-reporting.js
+++ b/assets/src/bundles/origin/visits-reporting.js
@@ -1,5 +1,5 @@
 /**
- * Copyright (C) 2018-2021  The Software Heritage developers
+ * Copyright (C) 2018-2022  The Software Heritage developers
  * See the AUTHORS file at the top-level directory of this distribution
  * License: GNU Affero General Public License version 3, or any later version
  * See top-level LICENSE file for more information
@@ -131,6 +131,11 @@
       }
     });
 
+    if (!firstFullVisit) {
+      $('#swh-full-visits-different-snapshots').prop('disabled', true);
+      $('#swh-full-visits').prop('disabled', true);
+    }
+
     if ($('#swh-full-visits').prop('checked')) {
       showFullVisits();
     } else if ($('#swh-all-visits').prop('checked')) {
diff --git a/swh/web/templates/browse/origin-visits.html b/swh/web/templates/browse/origin-visits.html
--- a/swh/web/templates/browse/origin-visits.html
+++ b/swh/web/templates/browse/origin-visits.html
@@ -1,7 +1,7 @@
 {% extends "./browse.html" %}
 
 {% comment %}
-Copyright (C) 2017-2020  The Software Heritage developers
+Copyright (C) 2017-2022  The Software Heritage developers
 See the AUTHORS file at the top-level directory of this distribution
 License: GNU Affero General Public License version 3, or any later version
 See top-level LICENSE file for more information
@@ -45,21 +45,27 @@
 
   <form class="text-center">
     <div class="custom-control custom-radio custom-control-inline">
-      <input class="custom-control-input" type="radio" id="swh-different-snapshot-visits" name="swh-visits" value="option1" checked>
-      <label class="custom-control-label font-weight-normal" for="swh-different-snapshot-visits" onclick="swh.origin.showFullVisitsDifferentSnapshots(event)">
-        Show full visits with different snapshots
+      <input class="custom-control-input" type="radio" id="swh-all-visits" name="swh-visits"
+             value="option3" checked>
+      <label class="custom-control-label font-weight-normal" for="swh-all-visits"
+             onclick="swh.origin.showAllVisits(event)">
+        Show all visits
       </label>
     </div>
     <div class="custom-control custom-radio custom-control-inline">
-      <input class="custom-control-input" type="radio" id="swh-full-visits" name="swh-visits" value="option2">
-      <label class="custom-control-label font-weight-normal" for="swh-full-visits" onclick="swh.origin.showFullVisits(event)">
-        Show all full visits
+      <input class="custom-control-input" type="radio" id="swh-full-visits-different-snapshots"
+             name="swh-visits" value="option1">
+      <label class="custom-control-label font-weight-normal" for="swh-full-visits-different-snapshots"
+             onclick="swh.origin.showFullVisitsDifferentSnapshots(event)">
+        Show full visits with different snapshots
       </label>
     </div>
     <div class="custom-control custom-radio custom-control-inline">
-      <input class="custom-control-input" type="radio" id="swh-all-visits" name="swh-visits" value="option3">
-      <label class="custom-control-label font-weight-normal" for="swh-all-visits" onclick="swh.origin.showAllVisits(event)">
-        Show all visits
+      <input class="custom-control-input" type="radio" id="swh-full-visits" name="swh-visits"
+             value="option2">
+      <label class="custom-control-label font-weight-normal" for="swh-full-visits"
+             onclick="swh.origin.showFullVisits(event)">
+        Show all full visits
       </label>
     </div>
   </form>