I don't think it's a problem...I think it's an opportunity.
My advise on this is highly questionable so please do not accept it without questioning (hahahha as if).
1. concentrate the mind
2. contemplate the koan until the mind is deeply involved and has become "comfortable" or "familiar" with the koan
3. become mindful of the activity of contemplating the koan
This involves shifting the minds focus twice; once from concentration to contemplation and once from contemplation to mindfulness.....difficult but possible. If you don't get it right the first time (you should be so lucky) then keep trying...eventually it should happen even if by accident. The second shift will probably be the difficult one and perhaps (maybe...not sure) a good strategy to do this one is that if you let the mind contemplate the koan long enough the mind will eventually stop (on its own?) and at that time instead of just shifting back to concentration (as some people do) shift to mindfulness taking the last hints of the koan contemplation as the content of the mind......
This might not work....but then it doesn't cost anything to try and it shouldn't take long to give it a trial.....I guess.....do you think that trying this could be harmful??????