  We calculate the wave-vector dependent electronic spin susceptibility
$\chi_{\alpha\beta}(\mathbf q, \mathbf H_0)$ of a d-wave superconductor in
uniform magnetic field $\mathbf{H}_0$ with Pauli pair-breaking. We find that
the transverse component of the susceptibility tensor can be greater than its
normal state value; the longitudinal component also slightly increases but in a
very limited range of $q$s. We identify several wave vectors $\{\mathbf
q_\perp,\mathbf q_\parallel\}$, that correspond to the maxima of either
$\chi_\perp$ or $\chi_\parallel$. We compare our results with available data on
the high-field phase in heavy-fermion CeCoIn$_5$.
