A device (D) is intended to control a so-called "creeping travel" mode of a vehicle (V) that is capable of moving the latter (V) at a slow speed by providing a variable torque produced by a power train without the driver actuating the brake pedal or an accelerator pedal. This device (D) comprises control means (MC) arranged, when this mode has been activated, to analyse the value of a parameter representative of the current speed of the vehicle (V) consecutive to an actuation of the brake pedal during a first period shorter than a first chosen threshold, and to trigger a deactivation of this mode after a second chosen duration, consecutive to this first duration, when the analysed value remains lower than a second threshold chosen during the second chosen time.