A sense structure includes: a sense amplifier core configured to compare a measurement current with a reference current; a cascode transistor coupled to the sense amplifier core and configured to be coupled to a load; a switch coupled between a bias voltage node and a control terminal of the cascode transistor; a local capacitor having a first terminal coupled to the control terminal of the cascode transistor; a first transistor coupled between a second terminal of the local capacitor and a reference terminal; and a control circuit coupled to a control terminal of the first transistor, the control circuit configured to disconnect the local capacitor from the reference terminal to produce a voltage overshoot in the control terminal of the cascode transistor, and after disconnecting the local capacitor from the reference terminal, limit or reduce the voltage overshoot by adjusting a voltage of the control terminal of the first transistor.