How should I manage severe dark circles?

I have severe dark circles, probably because of chronic sleep deprivation.

Is there a way to care for dark circles other than through procedures?

Of course, I know that the best solution is to address the root cause, which is lack of sleep, but

This is not a problem that can be solved in a day or two, and on top of that...

I'm worried because my dark circles make my complexion look dull and sickly.