  We extend the theoretical framework used of describe the $T_{cc}$ state as a
molecular state of $D^* D$ and make predictions for the $D^*D^*$ and $D^*_s
D^*$ systems, finding that they lead to bound states only in the $J^P=1^+$
channel. Using input needed to describe the $T_{cc}$ state, basically one
parameter to regularize the loops of the Bethe-Salpeter equation, we find bound
states with bindings of the order of the MeV and similar widths for $D^*D^*$
system, while the $D^{*}_s D^{*}$ system develops a strong cusp around
threshold.
