  The explicit CP violation in the MSSM radiatively induces a finite
unremovable alignment between the Higgs doublets. This additinal phase can be
as large as the original CP phases in certain portions of the MSSM parameter
space. Considering the specific case of the charginos, this additional phase is
shown to induce a conceivable amount of CP violation near the would--be CP
conserving points. Moreover, the CP violation in the absence of this phase is
smaller than the one in the presence of it, and the former can never compete
with the latter, however large $\tan\beta$ is.
