When I train my biceps I usually always get a nice pump in the whole muscle. But for a couple hours after I'm done, I notice that the part of the bicep closest to my elbow is always hard as a rock and the further up I go toward my shoulder the softer the muscle is. So I'm wondering if that's normal or am I doing something wrong? Also I don't know if it makes a difference, but that's the only part of the muscle I ever get doms in.

So is it possible to target more of the upper bicep closest to my shoulder?