diff --git a/web/app.js b/web/app.js
index 0152261a9..e483d1797 100644
--- a/web/app.js
+++ b/web/app.js
@@ -1089,6 +1089,12 @@ const PDFViewerApplication = {
       featureId,
     });
 
+    // Don't show the fallback bar for things that are *very* unlikely to cause
+    // user-visible errors, to avoid bothering the user unnecessarily.
+    switch (featureId) {
+      case UNSUPPORTED_FEATURES.errorFontLoadNative:
+        return;
+    }
     // Only trigger the fallback once so we don't spam the user with messages
     // for one PDF.
     if (this.fellback) {