Lawn depressions

[Chelsea Christenson]

A couple of spots in my lawn have started to sink. Upon investigation, I found a number of little holes, like rodents would make. I believe the rodents have moved on -- my hunting cat used to haunt that section of the yard from the moment she went outside, but now it no longer attracts her -- but I still have these depressions in the lawn that are rather hazardous to inattentive foot traffic. Is there any way to repair them while preserving the grass?

[Phisherman]

Cut a large "H" in the grass and gently pull back the tabs while cutting the grass loose from the soil. Add top soil to the exposed area. You could mix a handful of compost or rotted manure to the top soil. Fold back the tabs and water well. Water again the next day, then water as needed.