  The non-resonant formation of $dd\mu$ molecules in the loosely bound state in
collisions of non-thermalized $d\mu$ atoms with deuterium molecules D$_2$ has
been considered. The process of such a type is possible only for collision
energies exceeded the ionization potential of D$_2$. The calculated rates of
$dd\mu$ formation in the above-threshold energy region are about one order of
magnitude higher than obtained earlier.
  The role of epithermal non-resonant $\mu$-molecule formation for the kinetics
of $\mu$CF processes in D$_2$ gas was studied. It was shown that the
non-resonant $dd\mu$ formation by $d\mu$ atoms accelerated during the cascade
can be directly observed in the neutron time spectra at very short initial
times.
