How much does the pressure drop? It is normal for oil pressure to respond to the rpm's (since the oil pump turns faster with higher rpm's). If you have a significant drop, you might have a bad oil pump or your oil viscosity is too low (go to a higher viscosity number on the oil, i.e. the first part (5w, 10w, or 20w) is the viscosity when cold, the second part (-30, -40,-or -50) is the viscosity when hot. The higher the number the thicker the oil.). See if this helps.