How to use Spring state machine for an Order object

I'm trying to use Spring State Machine in my project, because there is an object is Order with several state

• NEW
• PAID
• PACKAGED
• DELIVERED
• CANCELED
• RETURNED

That object could be implement as following

public class Order {
  private String id;
  private Customer customer;
  private OrderState state;
// Some other fields with getter and setter
}

and I introduced OrderService, get order from DB, set some information including OrderState, and then save to DB.

However I don't know how to apply Spring state machine into this one, is it too complex to use with simple purpose like that?