diff --git a/Library/Homebrew/cmd/tap.rb b/Library/Homebrew/cmd/tap.rb
index 96b528552e829..f3f751ead323b 100644
--- a/Library/Homebrew/cmd/tap.rb
+++ b/Library/Homebrew/cmd/tap.rb
@@ -60,7 +60,7 @@ def tap
         tap.fix_remote_configuration
       end
     elsif args.no_named?
-      puts Tap.names
+      puts Tap.select(&:installed?)
     else
       tap = Tap.fetch(args.named.first)
       begin
diff --git a/Library/Homebrew/tap.rb b/Library/Homebrew/tap.rb
index 60df907f123fa..7009f630866e0 100644
--- a/Library/Homebrew/tap.rb
+++ b/Library/Homebrew/tap.rb
@@ -868,6 +868,8 @@ def self.each(&block)
   # An array of all installed {Tap} names.
   sig { returns(T::Array[String]) }
   def self.names
+    # odeprecated "`#{self}.names`"
+
     map(&:name).sort
   end