Tending toward the adaptive modeling of main flux saturation in induction machine, this brief discloses the induction machine magnetizing inductance as an expression in terms of only d-q axis winding flux linkages. It will be shown that such an expression considerably facilitates the inclusion of main flux saturation effects in internal structure of the well-established winding flux linkage state-space model. The derivation procedure will be carried out without altering the structural equations of the generalized d-q axis mathematical model of the induction machine.