diff --git a/templates/index.html b/templates/index.html
index 47ee69b..417acec 100644
--- a/templates/index.html
+++ b/templates/index.html
@@ -324,6 +324,7 @@
     </div>
   </div>
   <div class="host-grid" id="host-grid">
+    {%- set has_global_sup = suppressions | selectattr('target_type', 'equalto', 'all') | list | length > 0 -%}
     {% for name, host in snapshot.hosts.items() %}
     {% set suppressed = suppressions | selectattr('target_name', 'equalto', name) | list %}
     <div class="host-card host-card-{{ host.status }}" data-host="{{ name }}">
@@ -331,7 +332,7 @@
         <div class="host-name-row">
           <span class="host-status-dot dot-{{ host.status }}"></span>
           <span class="host-name">{{ name }}</span>
-          {% if suppressed %}
+          {% if suppressed or has_global_sup %}
           <span class="badge-suppressed" title="Suppressed">🔕</span>
           {% endif %}
         </div>