If tearing, or a rupture, the surrounding area would be deeply bruised. Possible tendon or ligament stress/strain, which might result, or include, in nerve damage.
Only hurt in pulling (bicep) but not pushing (tricep) I wonder? Massage may help. The usually cold pack/hot pack thing also. If not wanting to see a doc, than a good 3 weeks complete rest may aid in healing the injury. Even a rubbing lotion , or light wraps, to draw heat and blood into the area to help. When coming back into a gym, keep the area warm with long sleeves during the workouts. Good Luck.