Index: applets/taskmanager/package/contents/config/main.xml
===================================================================
--- applets/taskmanager/package/contents/config/main.xml
+++ applets/taskmanager/package/contents/config/main.xml
@@ -22,6 +22,10 @@
       <label>Whether to show only window tasks that are minmized.</label>
       <default>false</default>
     </entry>
+    <entry name="unhideOnAttention" type="Bool">
+      <label>Whether to unhide if a window wants attention.</label>
+      <default>true</default>
+    </entry>
     <entry name="groupingStrategy" type="Enum">
       <label>How tasks are grouped: 0 = Do Not Group, 1 = By Program Name</label>
       <default>1</default>
Index: applets/taskmanager/package/contents/ui/ConfigBehavior.qml
===================================================================
--- applets/taskmanager/package/contents/ui/ConfigBehavior.qml
+++ applets/taskmanager/package/contents/ui/ConfigBehavior.qml
@@ -40,6 +40,7 @@
     property alias cfg_showOnlyCurrentDesktop: showOnlyCurrentDesktop.checked
     property alias cfg_showOnlyCurrentActivity: showOnlyCurrentActivity.checked
     property alias cfg_showOnlyMinimized: showOnlyMinimized.checked
+    property alias cfg_unhideOnAttention: unhideOnAttention.checked
 
     Kirigami.FormLayout {
         anchors.left: parent.left
@@ -147,5 +148,9 @@
             visible: (plasmoid.pluginName !== "org.kde.plasma.icontasks")
             text: i18n("Show only tasks that are minimized")
         }
+        CheckBox {
+            id: unhideOnAttention
+            text: i18n("Unhide when a window wants attention")
+        }
     }
 }
Index: applets/taskmanager/package/contents/ui/main.qml
===================================================================
--- applets/taskmanager/package/contents/ui/main.qml
+++ applets/taskmanager/package/contents/ui/main.qml
@@ -323,7 +323,7 @@
     Binding {
         target: plasmoid
         property: "status"
-        value: (tasksModel.anyTaskDemandsAttention
+        value: (tasksModel.anyTaskDemandsAttention && plasmoid.configuration.unhideOnAttention
             ? PlasmaCore.Types.NeedsAttentionStatus : PlasmaCore.Types.PassiveStatus)
     }