Does the surface feel smooth, or are the little burs making it a little bumpy? If it's not smooth, perhaps you should try conditioning the strop (using leather conditioner or something similar). It may be that these litte burs will smooth out after conditioning, although I would have to see/feel the strop to know for sure.

If conditioning does not help your issue, perhaps you could consider lightly sanding the surface of the strop to smooth it out. I typically use 600 grit or finer. If you want to go this route, I would search the strop sub-forum for sanding strops, as I'm pretty sure there are several threads discussing this.

Do you have any pictures of your strop, maybe that would help identify the problem .

Dave

P.s. I wouldn't do anything after just reading my post, I would wait for other opinions on this matter!