  In this paper we examine the effect of adding CP-violating phases to the
pMSSM on the Dark-Matter (DM) direct-detection cross sections, the
velocity-weighted annihilation cross section, and the DM relic density. We show
that $\varphi_{M_2}$ and $\varphi_{\mu}$, the phases of the wino and higgsino
mass parameters, are sufficiently constrained by electron
electric-dipole-moment (EDM) measurements such that the allowed values of these
phases are too small to influence these DM observables. Conversely, the phase
of the bino-mass parameter $\varphi_{M_1}$ and the phases associated with the
trilinear couplings, $\varphi_{A^t}$, $\varphi_{A^b}$, and $\varphi_{A^\tau}$,
are barely constrained by EDM experiments. We find that these cpMSSM phases can
have an important impact on the mentioned DM observables. This especially
concerns pMSSM points that lie on the boundary of exclusion, as observables can
be affected by cpMSSM phases to the extent that they are either pushed into the
observable region, or outside the excluded region.
