diff --git a/changelog/fix_an_error_when_using_rubocop_auto_correct_rake_task.md b/changelog/fix_an_error_when_using_rubocop_auto_correct_rake_task.md
new file mode 100644
index 00000000000..41ee741a3d0
--- /dev/null
+++ b/changelog/fix_an_error_when_using_rubocop_auto_correct_rake_task.md
@@ -0,0 +1 @@
+* [#10780](https://github.com/rubocop/rubocop/issues/10780): Fix an error when using `rubocop:auto_correct` deprecated custom rake task. ([@koic][])
diff --git a/lib/rubocop/rake_task.rb b/lib/rubocop/rake_task.rb
index 60ed7f6d4de..db3ed9c82e9 100644
--- a/lib/rubocop/rake_task.rb
+++ b/lib/rubocop/rake_task.rb
@@ -73,11 +73,15 @@ def setup_subtasks(name, *args, &task_block) # rubocop:disable Metrics/AbcSize,
       namespace(name) do
         # rubocop:todo Naming/InclusiveLanguage
         task(:auto_correct, *args) do
+          require 'rainbow'
           warn Rainbow(
             'rubocop:auto_correct task is deprecated; ' \
             'use rubocop:autocorrect task or rubocop:autocorrect_all task instead.'
           ).yellow
-          ::Rake::Task['rubocop:autocorrect'].invoke
+          RakeFileUtils.verbose(verbose) do
+            yield(*[self, task_args].slice(0, task_block.arity)) if task_block
+            perform('--autocorrect')
+          end
         end
         # rubocop:enable Naming/InclusiveLanguage