SwingWorker calls 'done' before the 'doInBackground' is finished

FULL PRODUCT VERSION :
java version "1.8.0_40"
Java(TM) SE Runtime Environment (build 1.8.0_40-b25)
Java HotSpot(TM) 64-Bit Server VM (build 25.40-b25, mixed mode)

ADDITIONAL OS VERSION INFORMATION :
Microsoft Windows [Version 6.1.7601]

A DESCRIPTION OF THE PROBLEM :
According to documentation of SwingWorker for method 'done':

"Executed on the Event Dispatch Thread after the doInBackground method is finished."

When cancelling a worker that needs to perform some cleanup the 'done' method is called on EDT before the worker finishes cleaning up.

This behavior is not logical and not correct according to documentation.

In the steps to reproduce i put a code listing that can be used to reproduce.

STEPS TO FOLLOW TO REPRODUCE THE PROBLEM :
- start a swing worker
- cancel it
- expect swing worker to do some cleanup


EXPECTED VERSUS ACTUAL BEHAVIOR :
EXPECTED -
Working...
(...)
Working...
Got interrupted!
Cleaning up
Done cleaning
Done

ACTUAL -
Working...
(...)
Working...
Got interrupted!
Cleaning up
Done
Done cleaning

REPRODUCIBILITY :
This bug can be reproduced always.

---------- BEGIN SOURCE ----------
import javax.swing.SwingWorker;

public class Main
{
    public static void main(String[] args) throws InterruptedException
    {
        SwingWorker<String, String> worker = new SwingWorker<String, String>()
        {
            @Override
            protected String doInBackground() throws Exception
            {
                try
                {
                    while (!Thread.currentThread().isInterrupted())
                    {
                        System.out.println("Working...");
                        Thread.sleep(1000);
                        
                    }
                }
                catch (InterruptedException ex)
                {
                    System.out.println("Got interrupted!");
                }
                
                try
                {
                    System.out.println("Cleaning up");
                    Thread.sleep(10000);
                    System.out.println("Done cleaning");
                }
                catch (InterruptedException ex)
                {
                    System.out.println("Got interrupted second time!");
                }
                
                return null;
            }
            
            @Override
            protected void done()
            {
                System.out.println("Done");
            }
        };
        
        worker.execute();
        Thread.sleep(10000);
        
        worker.cancel(true);
        Thread.sleep(20000);
    }
}
---------- END SOURCE ----------

CUSTOMER SUBMITTED WORKAROUND :
Reimplement the 'FutureTask' class.