A self-timed memory includes a plurality of timer cells each including an access transistor coupled to a true node and having a gate coupled to a reference wordline actuated by a reference wordline driver. Self-timing is effectuated by detecting completion of reference true bitline discharge in the timer cells resulting in enabling a sense amplifier. To better align detected completion of the discharge by the timer cells to a read from actual memory cells at any voltage in the operating voltage range of the memory, the gate to source voltage of the timer cells' access transistors is lowered by decreasing the logic high voltage level applied by the reference wordline. The timer cells may also, or alternatively, have pulldown transistors coupled to the internal true node, wherein a gate terminal of the pulldown is coupled to the reference wordline node and activated with the lowered gate to source voltage.