If you could find a nail that is a close push fit in the tube, you might be able to pull it out with pliers or grips. The nail will prevent the tube from collapsing. This is assuming the tube hasn't been broken off flush with the case.
Here's one of his other watches, he said he didn't like it because it was too small for his wrist.
David S - who's getting a bit off topic for the tools and equipment forum :)