diff --git a/Library/Homebrew/cmd/audit.rb b/Library/Homebrew/cmd/audit.rb
index 5d70944d15..d240fb2178 100644
--- a/Library/Homebrew/cmd/audit.rb
+++ b/Library/Homebrew/cmd/audit.rb
@@ -235,10 +235,15 @@ class FormulaAuditor
       return
     end
 
-    same_name_tap_formulae = Formula.tap_names.select do |tap_formula_name|
-      user_name, _, formula_name = tap_formula_name.split("/", 3)
-      user_name == "homebrew" && formula_name == name
-    end
+    @@local_official_taps_name_map ||= Tap.select(&:official?).flat_map(&:formula_names).
+      reduce(Hash.new) do |name_map, tap_formula_full_name|
+        tap_formula_name = tap_formula_full_name.split("/").last
+        name_map[tap_formula_name] ||= []
+        name_map[tap_formula_name] << tap_formula_full_name
+        name_map
+      end
+
+    same_name_tap_formulae = @@local_official_taps_name_map[name] || []
 
     if @online
       @@remote_official_taps ||= OFFICIAL_TAPS - Tap.select(&:official?).map(&:repo)