The invention relates to sample-and hold modules, and notably those which are intended to be placed upstream of an analog-digital converter. The sample-and-hold module conventionally comprises a differential pair of transistors, a follower transistor and a storage capacitor. The follower transistor is turned on during a sampling phase by the application of an emitter current by means of a first current switch and can be disabled during a hold phase by the application of a disabling voltage to its base. The sample-and-hold module operates according to the invention with a hold phase beginning at the same time as the end of a sampling phase and terminating before the start of a new sampling phase. Switching spikes are thus avoided at the transition between the end of a hold phase and the start of a new sampling phase.