Reducing peak current and/or power consumption during verify of a non-volatile memory is disclosed. During a program verify, only memory cells in a first physical segment of the selected word line are verified during an initial program loop; memory cells in a different physical segment of the word line are locked out and not verified. The locked out memory cells may be slower to program. During a later program loop, memory cells in all physical segments are program verified. Locked out strings do not conduct a significant current during verify, thus reducing current/power consumption.