Help!?!?!?

I bought a few nursing shirts so i can be covered without actually covering my daughter with a blanket or nursing cover but one thing I'm running into is she keeps getting milk down the front of my shirts which all of you probably understand isnt really nice especially out in public......its kind of like the embarassing leak spots if your not wearing nursing pads.....anyone else deal with this? How do you stop it?

I know i can just wear regular shirts and pull them up but i really dont want to show my stomach.....