The effects of spin-orbit scattering of conduction electrons in the Ko
ndo regime are investigated theoretically. It is shown that due to tim
e-reversal symmetry, spin-orbit scattering does not suppress the Kondo
effect, even though it breaks spin-rotational symmetry, in full agree
ment with experiment. An orbital magnetic field, which breaks time-rev
ersal symmetry, leads to an effective Zeeman splitting, which can be p
robed in transport measurements. It is shown that, similar to weak loc
alization, this effect has anomalous magnetic-field and temperature de
pendence.