Any way to guess the active keyboard layout of the "authentication required" dialog?

Because it darkens the rest of the screen and I cannot see the keyboard layout indicator. Right now my workflow is as follows:

1. Type the whole passphrase.
2. Press Enter.
3. Wait for several seconds.
4. Get the "wrong password" message.
5. Say something suboptimal loudly.
6. Switch the keyboard layout.
7. Goto step 1.