That should be plenty. My method of bleeding the system is to push a tightly fitting tube over the bleed nipple and put the end into a clean jar with fluid covering the end of the tube. crack the nipple open just enough to allow fluid through when the pedal is pushed then just keep pumping the pedal - no down, close nipple, up pump, open nipple, down etc just keep pumping and keep an eye on the master cylinder level and top up. Run a couple of master cylinders worth of fluid through then close the bleed nipple and test, works every time for me. It also helps if you smear some grease around the nipple threads after you crack it open to seal them up.