For almost 3 years now, I've been 3 credits shy of my B.A. in psychology. When I've applied for jobs outside of the psych field, I've told them I have my B.A. For jobs in the realm of psych, though, I've told the entire truth, which is that while I finished every course I needed for my psychology major, I was left 3 credits shy because my college didn't tell me I needed an art or music class to fulfill my general education requirements until I was in my last semester, and by that point, all the classes were full.
The jobs for which I've applied that have been in the psychology field have denied me jobs not because I didn't have my degree in hand, but because I had no experience in the field. Interalia, I don't know if you live in the U.S., but if so, and if this is a bachelor's degree you're talking about, you may want to look into staying in school for another couple years. People entering the psychology field with only a bachelor's (in America, anyway) are almost always sorely disappointed... the most they can ordinarily get are secretarial positions, as it is a game of superiority. A master's degree will nearly guarantee you a job.
If, however, you intend to enter the workforce with a bachelor's alone (and I am merely surmising here, as your post didn't specify), I advise you to do internships, volunteer work, and anything else to bulk up your experiencial resume. It's a very rough field to enter without a higher degree.
SD