  In the present work, we construct the color-singlet-color-singlet type
four-quark currents to investigate the $D_s\bar{D}_{s1}$ and
$D_s^*\bar{D}_{s0}^*$ tetraquark molecular states with the $J^{PC}=1^{--}$ and
$1^{-+}$ via the QCD sum rules, and obtain satisfactory results. We can search
for the $D_s\bar{D}_{s1}$ and $D_s^*\bar{D}_{s0}^*$ tetraquark molecular states
with the $J^{PC}=1^{--}$ and $1^{-+}$ at the BESIII and Belle II in the future.
