diff --git a/src/display/font_loader.js b/src/display/font_loader.js
index 8635691e7..904168ccb 100644
--- a/src/display/font_loader.js
+++ b/src/display/font_loader.js
@@ -350,7 +350,7 @@ class FontFaceObject {
       isEvalSupported = true,
       disableFontFace = false,
       ignoreErrors = false,
-      onUnsupportedFeature = null,
+      onUnsupportedFeature,
       fontRegistry = null,
     }
   ) {
@@ -405,11 +405,9 @@ class FontFaceObject {
       if (!this.ignoreErrors) {
         throw ex;
       }
-      if (this._onUnsupportedFeature) {
-        this._onUnsupportedFeature({
-          featureId: UNSUPPORTED_FEATURES.errorFontGetPath,
-        });
-      }
+      this._onUnsupportedFeature({
+        featureId: UNSUPPORTED_FEATURES.errorFontGetPath,
+      });
       warn(`getPathGenerator - ignoring character: "${ex}".`);
 
       return (this.compiledGlyphs[character] = function (c, size) {
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) {