Capacitive level-shifting circuits and methods are provided for adding DC offsets to the output of a current-integrating amplifier. For example, a current-integrating amplifier includes an input amplifier stage and an output offset circuit. The input amplifier stage includes an input node, a first output node, and a first switch connected between the first output node and a power supply node. The output offset circuit is connected to the first output node of the input amplifier stage and to a second output node of the current-integrating amplifier. The output offset circuit includes a first series capacitor coupled between the first output node of the input amplifier stage and the second output node of the current-integrating amplifier. The output offset circuit switchably connects a bias voltage to the second output node and charges the first series capacitor to add a DC offset to the second output node of the current-integrating amplifier.