  Since a lot of theoretical predictions on the production of new particles
(Higgs, SUSY) at the Tevatron are based on model estimations of the proton
gluon density behavior at low $x$ and high values of a transfered momentum Q^2,
the study of a possibility of a measurement of the gluon density in this
kinematic region directly in Tevatron experiments is obviously of a big
interest [1].
  Basing on the selection criteria proposed ealier in [1,2], the background
events suppression factors and corresponding signal events selection
efficiencies are determined here. The estimation of the number of photon+jet
events suitable for measurement of gluon distribution in different x and Q^2
intervals at Tevatron Run II is also done.
  It is shown that with integrated luminosity L_{int}=3 fb^-1 it would be
possible to collect about one million of these events. This number would allow
to cover a new kinematical region, 10^-3 < x < 1.0 with 1.6*10^3 < Q^2 < 2*10^4
(GeV/c)^2, not studied in any previous experiment. This area includes the
values of Q^2 that are, on the average, by about one order of magnitude higher
than those reached at HERA now. The rates of g c-> photon + jet events are also
obtained.
