A driving device of a driving mass of a gyroscope comprises a differential read amplifier to supply first signals indicating a rate of oscillation of the driving mass; a variable-gain amplifier to supply second signals to drive the driving mass based on said first signals; a voltage elevator providing a power supply signal to the variable-gain amplifier; a controller generating a first control signal to control a gain of the variable-gain amplifier; and a first comparator, coupled to the variable-gain amplifier, generating a second control signal based on a comparison of the first control signal with a threshold, the second control signal controlling at least one among: (i) the variable-gain amplifier in such a way that the gain is increased only during the start-up phase of the gyroscope, and (ii) the voltage elevator in such a way that the power supply signal is increased only during the start-up phase.