A method of controlling a pickup manoeuvre of a hybrid vehicle is actuated with an engine off, an electric motor active and a first clutch being open. In a first phase of the manoeuvre, vehicle advancement is obtained by progressively closing the second clutch so that the input shaft is set in rotation with an increasing speed, while the motor rotates at an increasing speed higher than a speed of the input shaft with the second clutch in a slip condition. Upon a request for starting the engine, the first clutch is progressively closed so that the engine starts to be driven by the motor, while the second clutch is kept in the slip condition, which is maintained until the engine and motor rotate substantially at a same speed, higher than the speed of the input shaft, and once this condition is reached, closing of the second clutch is started.