Putting that little logo in there is a really good idea. Only trouble is that, since URLs are often long, it ends up on the line above the URL where it is easily missed.

My suggestion is simply to put it at the END of the URL instead of the beginning. I think that's where your eye lands anyway, and it's way more likely to be right there next to the URL instead of on another line. (Heck, if it's important enough, have it show up in both places.)