In a programming operation, selected storage elements which reach a lockout condition are subject to reduced channel boosting in a program portion of the next program-verify iteration, to reduce coupling effects on the storage elements which continue to be programmed. In subsequent program-verify iterations, the locked out storage elements are subject to full channel boosting. Or, the boosting can be stepped up over multiple program-verify iterations after lockout. The amount of channel boosting can be set by adjusting the timing of a channel pre-charge operation and by stepping up pass voltages which are applied to unselected word lines. The reduced channel boosting can be implemented for a range of program-verify iterations where the lockout condition is most likely to be first reached, for one or more target data states.