How do I ask?

Me and my boyfriend have recently been discussing the topic of sex, and we have covered everything like consent, protection, privacy, but there's one slight problem for me. I'm a virgin, and he's not. A year ago, he had drunk unprotected sex with this girl I don't know. But what what I do know is that she had been around (to the point where she got pregnant). None of the virginity stuff is really a problem to me, but the problem is that I'm scared he might unknowingly have an STD, and might pass it on to me if our form of protection fails (the condom breaking). Am I paranoid? And if I'm not, how do I go about discussing this without sounding offensive or like I'm looking for a reason to back out of it? I mean I do want to, but I'm being very responsible and careful about it.