  LUX-ZEPLIN (LZ) collaboration has achieved the strongest constraint on
weak-scale dark matter (DM)-nucleon spin-independent (SI) scattering cross
section in a large region of parameter space. In this paper, we take a
complementary approach and study the prospect of detecting cosmic-ray boosted
sub-GeV DM in LZ. In the absence of a signal for DM, we improve upon the
previous constraints by a factor of $\sim 2$ using the LZ result for some
regions of the parameter space. We also show that upcoming XENONnT and future
Darwin experiments will be sensitive to cross sections smaller by factors of
$\sim 3$ and $\sim 10$ compared to the current LZ limit, respectively.
