diff --git a/Library/Homebrew/rubocops/cask/no_overrides.rb b/Library/Homebrew/rubocops/cask/no_overrides.rb
index 4e9a4edee4..f7cabcac8a 100644
--- a/Library/Homebrew/rubocops/cask/no_overrides.rb
+++ b/Library/Homebrew/rubocops/cask/no_overrides.rb
@@ -8,19 +8,22 @@ module RuboCop
         extend T::Sig
         include CaskHelp
 
+        ON_SYSTEM_METHODS = RuboCop::Cask::Constants::ON_SYSTEM_METHODS
         MESSAGE = <<~EOS
           Do not use top-level `%<stanza>s` stanza as the default, add an `on_{system}` block instead.
           Use `:or_older` or `:or_newer` to specify a range of macOS versions.
         EOS
 
         def on_cask(cask_block)
-          return if cask_block.toplevel_stanzas.empty?
+          return if (cask_stanzas = cask_block.toplevel_stanzas).empty?
+          # Skip if there are no `on_*` blocks.
+          return unless cask_stanzas.any? { |s| ON_SYSTEM_METHODS.include?(s.stanza_name) }
 
-          cask_block.toplevel_stanzas.each do |stanza|
+          cask_stanzas.each do |stanza|
             # TODO: We probably only want to disallow `version`, `url`, and `sha256` stanzas being overridden?
             next unless RuboCop::Cask::Constants::STANZA_ORDER.include?(stanza.stanza_name)
             # Skip if the stanza we detect is already in an `on_*` block.
-            next if stanza.parent_node.block_type? && RuboCop::Cask::Constants::ON_SYSTEM_METHODS.include?(stanza.parent_node.method_name)
+            next if stanza.parent_node.block_type? && ON_SYSTEM_METHODS.include?(stanza.parent_node.method_name)
 
             add_offense(stanza.source_range, message: format(MESSAGE, stanza: stanza.stanza_name))
           end
diff --git a/Library/Homebrew/test/rubocops/cask/no_overrides_spec.rb b/Library/Homebrew/test/rubocops/cask/no_overrides_spec.rb
index 0dc07b7172..a605b3a883 100644
--- a/Library/Homebrew/test/rubocops/cask/no_overrides_spec.rb
+++ b/Library/Homebrew/test/rubocops/cask/no_overrides_spec.rb
@@ -9,6 +9,21 @@ describe RuboCop::Cop::Cask::NoOverrides do
 
   subject(:cop) { described_class.new }
 
+  context "when there are no on_system blocks" do
+    let(:source) do
+      <<~CASK
+        cask 'foo' do
+          version '1.2.3'
+          url 'https://brew.sh/foo.pkg'
+
+          name 'Foo'
+        end
+      CASK
+    end
+
+    include_examples "does not report any offenses"
+  end
+
   context "when there are no top-level standalone stanzas" do
     let(:source) do
       <<~CASK