  We study the static magnetic susceptibility $\chi(T, \mu)$ in $SU(2)$ lattice
gauge theory with $N_f = 2$ light flavors of dynamical fermions at finite
chemical potential $\mu$. Using linear response theory we find that $SU(2)$
gauge theory exhibits paramagnetic behavior in both the high-temperature
deconfined regime and the low-temperature confining regime. Paramagnetic
response becomes stronger at higher temperatures and larger values of the
chemical potential. The first coefficient of the expansion of $\chi (T, \mu)$
in even powers of $\mu/T$ around $\mu=0$ is close to that of free quarks and
lies in the range $(3 \ldots 5) \cdot 10^{-3}$. The strongest paramagnetic
response is found in the diquark condensation phase at $\mu > m_{\pi}/2$.
