Start by replacing the oil pressure switch. Mine did it to me was good on oil pressure it was the switch. If it does continue however after the switch it may be time to invest in the oil pump if not worst case scenario bearings
1996 Mustang GT, 17x9 front and 17x10.5 cobra r replica rims, 255/40/17 front 285/40/17 rear at the moment,
o/r x-pipe flow master 40 series dump downs, cai/ram intake, 75mm c&l throttle body and plenum, pi heads and intake swap, msd wires, stock gears, untuned at the moment, no dyno numbers for now.