Detroit tax withheld, but work from home

Hi there,

 

My office is technically Detroit but I work from home or other locations 99% of the time.  I have a significant amount of Detroit local income tax withheld on my W2. My employer has a "log" for tracking when you are in the office that I have filled out.

 

Is there anyway to recoup part of that local income tax withheld supplementing turbo tax with my log of when I work in the city?