A sense amplifier enable signal generating circuit includes an input coupled to a dummy bit line of a memory. A voltage comparator circuit compares a voltage on the dummy bit line to a threshold voltage and generates an output signal when the voltage falls below that threshold voltage. A multi-bit counter circuit counts a count value in response to the output signal. A pull-up circuit pulls up the voltage on the dummy bit line in response to the output signal. A count comparator circuit compares the count value to a count threshold and generates a sense amplifier enable signal when the count value equals the count threshold.