Shaving fur

So I've gotten into shaving fur (before I was able to use short pile so I didn't need to shave) and now I've run into a small issue. I stitch the fur together, and then shave, but there's still hair stuck in the seams that won't really come out. It prevents me from having a nice clean shave because there's a gap of fur that's tucked in.

Here's a crude representation of what it looks like: http://s22.postimg.org/hz78qlqo1/problemo.png

I make sure that the fur is always out of the stitched area so it doesn't get caught but it (seams) to do it anyway.