If I have my bachelor's degree in criminal justice, can I go on to get my masters degree in social work?

If I have my bachelor's degree in criminal justice, can I go on to get my masters degree in social work WITHOUT going back and getting an additional bachelor's degree in social work as well? I've been working in CPS with a provisional license (temporary license). I passed the ASWB exam and will be able to apply for the full/permanent license in November. However, I am interested in getting my MSW.