  We investigate the incoherent regime of the fermionic dark matter absorption
by nuclei using the relativistic Fermi gas model and nuclear form factors. With
the momentum transfer being roughly equal to the dark matter mass $m_\chi$, the
incoherent regime contributes significantly to the absorption process for
$m_\chi \gtrsim 100$ MeV with a spin-independent operator and for even smaller
mass with a spin-dependent one. We also compare the situations for various
target nuclei ($^{131}$Xe, $^{72}$Ge, $^{40}$Ar, $^{20}$Ne and $^4$He) that are
typically used in the dark matter direct detection. A heavier nucleus actually
has the advantage of probing the incoherent scattering of the fermionic
absorption dark matter. Observing both the coherent and incoherent
contributions would be an important justification of the fermionic dark matter
absorption.
