As I said in YouTube video, I am listening to BBC while doing other things for about two years. The article of Scientific America says that listening English while doing something else is a good way to support learning English. Your subconscious is listening to the content and reviewing what you have learned.
Actually I'm not sure about because I don't have certain evidence about that. But my feeling is that it's sure that I am learning something during listening to BBC doing other things.
The downside is that your boss won't accept about that in the working hours maybe.