diff --git a/datasette/static/mobile-column-actions.js b/datasette/static/mobile-column-actions.js
index 0f407cd2..bad963bf 100644
--- a/datasette/static/mobile-column-actions.js
+++ b/datasette/static/mobile-column-actions.js
@@ -5,7 +5,9 @@ var MOBILE_COLUMN_DIALOG_TITLE_ID = "mobile-column-actions-title";
 function mobileColumnHeaders(manager) {
   return Array.from(
     document.querySelectorAll(manager.selectors.tableHeaders),
-  ).filter((th) => th.dataset.column);
+  ).filter(
+    (th) => th.dataset.column && th.querySelector(".dropdown-menu-icon"),
+  );
 }
 
 function mobileColumnMetaText(th) {