My doctor didn't tell me anything. She said that she wasn't really concerned. I think if it was me, I'd watch him closely and try to get him on healthy whole foods diet if you don't already. I help support his immune system and liver as best I could. That should really make a difference. From what I've read it isn't a big deal. But from a logical prespective, I feel that it is a sign that your body must be over working in some way.
Personally, I didn't have any yellowing around the eyes or any symptoms just an elevated billirubin. But I recently changed my diet and might have been putting extra stress on my liver during that time.