I had this same thing happen, and it drove me CRAZY at night, cause it made the steering wheel seem "unbalanced"....
As far as I could ever tell, the whole unit needs to be replaced, which is what I did...
It ran around $110 from the dealer...
The cheapest route would be to undue the wires from the other side, so that neither is lit! lol!
Not as nifty, but cost zero bucks... lol!
Best of luck....