diff --git a/Library/Homebrew/cask/artifact/abstract_uninstall.rb b/Library/Homebrew/cask/artifact/abstract_uninstall.rb
index 4773dc7982..7426e0f09d 100644
--- a/Library/Homebrew/cask/artifact/abstract_uninstall.rb
+++ b/Library/Homebrew/cask/artifact/abstract_uninstall.rb
@@ -389,7 +389,7 @@ module Cask
       end
 
       def uninstall_pkgutil(*pkgs, command: nil, **_)
-        ohai "Uninstalling packages with sudo; the password may be necessary:"
+        ohai "Uninstalling packages with `sudo` (which may request your password)..."
         pkgs.each do |regex|
           ::Cask::Pkg.all_matching(regex, command).each do |pkg|
             puts pkg.package_id
diff --git a/Library/Homebrew/cask/artifact/pkg.rb b/Library/Homebrew/cask/artifact/pkg.rb
index 7c4ce514a6..d3bef370e8 100644
--- a/Library/Homebrew/cask/artifact/pkg.rb
+++ b/Library/Homebrew/cask/artifact/pkg.rb
@@ -35,7 +35,7 @@ module Cask
       private
 
       def run_installer(command: nil, verbose: false, **_options)
-        ohai "Running installer for #{cask} with sudo; the password may be necessary."
+        ohai "Running installer for #{cask} with `sudo` (which may request your password)..."
         unless path.exist?
           pkg = path.relative_path_from(cask.staged_path)
           pkgs = Pathname.glob(cask.staged_path/"**"/"*.pkg").map { |path| path.relative_path_from(cask.staged_path) }
diff --git a/Library/Homebrew/cask/staged.rb b/Library/Homebrew/cask/staged.rb
index dbaa50a8f8..315e37a3ed 100644
--- a/Library/Homebrew/cask/staged.rb
+++ b/Library/Homebrew/cask/staged.rb
@@ -25,7 +25,7 @@ module Cask
       full_paths = remove_nonexistent(paths)
       return if full_paths.empty?
 
-      ohai "Changing ownership of paths required by #{@cask} with sudo; the password may be necessary."
+      ohai "Changing ownership of paths required by #{@cask} with `sudo` (which may request your password)..."
       @command.run!("/usr/sbin/chown", args: ["-R", "--", "#{user}:#{group}", *full_paths],
                                        sudo: true)
     end