This paper presents the analytical computation of the slot leakage inductance for permanent magnet (PM) machines with tooth-coil winding (TCW). Inductance equations are derived with detailed permeance determination for vertical or horizontal coil side arrangement in the slots, assuming a straight-line path for the flux leakage. Generalized expressions for the slot leakage inductance of the whole phase for different slots and poles combinations are proposed to be used during the dimensioning stage of a machine. Finite element (FE) simulations were carried out in a 6 slot and 4 pole machine to validate the analytical expressions, showing a good agreement between both methods.