diff --git a/chrome/content/tabutils-st.js b/chrome/content/tabutils-st.js
index b7be41a..173de93 100644
--- a/chrome/content/tabutils-st.js
+++ b/chrome/content/tabutils-st.js
@@ -226,6 +226,10 @@ tabutils._stackTabs = function() {
     let tabs = this.siblingTabsOf(aTab);
     if (tabs.length == 0)
       return;
+    if (tabs.length == 1 && TU_getPref("extensions.tabutils.autoCleanupStack", false)) {
+      gBrowser.detachTab(aTab);
+      return;
+    }
 
     if (typeof aTab == "string") {
       aTab = tabs[0];
diff --git a/defaults/preferences/prefs.js b/defaults/preferences/prefs.js
index db2fd06..a2afcdd 100644
--- a/defaults/preferences/prefs.js
+++ b/defaults/preferences/prefs.js
@@ -203,6 +203,7 @@ pref("extensions.tabutils.restartAfter", 0);
 pref("extensions.tabutils.autoStack", false);
 pref("extensions.tabutils.autoExpandStackOnDragover", false);
 pref("extensions.tabutils.autoExpandStackAndCollapseOthersOnSelect", true);
+pref("extensions.tabutils.autoCleanupStack", false);
 pref("extensions.tabutils.autoCollapseStackOnBlur", false);
 pref("extensions.tabutils.autoCollapseNewStack", true);
 pref("extensions.tabutils.dragToStack", false);