Removing wordpress Logo when logged in as non-network admin in multisite

I don't know if this is a bug, missed feature, or if I am doing something wrong.

In my wordpress multi-site installation, when logged in as a non-networked admin, hovering over the "my sites" drop down menu in the top left reveals the wordpress logo next to each site the user owns. Which...doesn't seem to be good for branding purposes.

The css displaying this wordpress logo is:

#wpadminbar .quicklinks li .blavatar

Thoughts on this?