I have a bachelor degree, but not in computer science.
The first full-time job was at a company that hires quite some chemists, physicists and mathematicians, and some biologists and others. People who don't really know programming, but have done just enough to know if they like it. There'd be a training program of six weeks.
I think if I were responsible for hiring (which fortunately I'm not), a degree would be a good thing. The people with computer science degrees that I know are typically decent or better programmers. But someone without degree who can show their skills some other way would be welcome too.