A method of managing the steering of aircraft undercarriage wheels carried by a steerable bottom portion of the undercarriage, the bottom portion being associated with steering control including a steering member suitable for steering the bottom portion of the undercarriage in response to a steering order. The method comprises the steps of (1) monitoring the pressures of the tires carried by the wheels, and in response to detecting at least one of the following events: (1A) the pressure of one of the tires is less than a first predetermined threshold, and ( 1B) the difference between the pressures of two of the tires is greater than a second determined threshold; (2) activating the steering control, if the steering control is not activated; and (3) implementing a steering control relationship that is modified compared with a nominal control relationship used when the tires are properly inflated.