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The problem of controlling a sensorless induction motor (i.e. without rotor speed measurements) is addressed. Smooth reference signals for rotor speed and rotor flux modulus are required to be tracked globally (i.e. from any initial condition). Only semiglobal solutions have been obtained, in the literature for the full-order model of an induction motor: a global solution is presented here, by extending the global solution obtained by R. Marino et al. (see 15th IFAC World Congress, Barcelona, July 2002) for current-fed motors. A novel rotor speed observer is designed, while online integration of stator flux dynamics is required.