That makes a CS degree inherently less valuable than almost all other degrees out there. Why would employers request a degree saying you know your stuff, when they can just ask you to prove it directly?
I was recently st a meetup and met a guy I went to school with. When he was in the process of acquiring his masters degree in physics, he was contacted by Google, who wanted to employ him. He went to an interview (which, apparently, was several interviews by different people all working for Google), and he got the job and moved to Ireland to work for them. Moral of the story: get a degree which offers the greatest value for money, and learn CS in your spare time, for free.