  We present an efficient scheme to implement a gray optical molasses for
sub-Doppler cooling of $^{6}$Li atoms with minimum experimental overhead. To
integrate the $D_1$ light for the gray molasses (GM) cooling into the same
optical setup that is used for the $D_2$ light for a standard magneto-optical
trap (MOT), we rapidly switch the injection seeding of a slave laser between
the $D_2$ and $D_1$ light sources. Switching times as short as
$30\,\mu\textrm{s}$ can be achieved, inferred from monitor optical beat
signals. The resulting low-intensity molasses cools a sample of $N=9\times10^8$
atoms to about $60\,\mu\textrm{K}$. A maximum phase-space density of
$\rho=1.2\times10^{-5}$ is observed. On the same setup, the performance of the
GM is compared to that of narrow-line cooling in a UV MOT, following the
procedure in Sebastian et al. (2014). Further, we compare the production of a
degenerate Fermi gas using both methods. Loading an optical dipole trap from
the gray molasses yields a quantum degenerate sample with $3.3\times10^5$
atoms, while loading from the denser UV MOT yields $2.4\times10^6$ atoms. Where
the highest atom numbers are not a priority this implementation of the gray
molasses technique yields sufficiently large samples at a comparatively low
technical effort.
