Uncomfortable heels on Adidas Tubular Dooms?

I've been trying to break in my new Tubulars and while they fit great, I've noticed slight discomfort in my heels from time to time due to the lining on the back as seen in this picture.

What would you guys recommend I do? I was thinking about stitching a piece of cloth on them just as you would to fix any ordinary heel, however, the shoe uses a sock so it may be more challenging