Can a fabric be engineered that doesn't get darker when wet?

One example is retroreflective fabric, which reflects light back where it came from and therefore shouldn't be affected by internal reflection of a water layer. But retroreflective fabric looks weird.

One idea is a dark material with lots of little pits, each with a white bottom. Any light reflected by the white bottom and not hitting the walls of the pit should be perpendicular enough to the surface that there won't be internal reflection. The overall albedo should be insensitive to wetness.

It could revolutionize clothing for people who sweat too much.