A transimpedance amplifier circuit includes a feedback control loop that generates a compensation current at an input of a transimpedance amplifier. The feedback control loop includes a differential integrator with an integration capacitor. A time constant associated with charging the integration capacitor is variable as a function of a pre-charge control signal. During a pre-charge phase, the pre-charge control signal is set to a first value so as to set the time constant associated with charging the integration capacitor to a first time constant value. During an operation phase, the pre-charge control signal is set to a second value so as to increase the time constant associated with charging the integration capacitor to a second time constant value greater than the first time constant value for the pre-charge phase.