We present theoretical predictions for a few phenomenologically intere
sting distributions in the semileptonic b --> u decays which are affec
ted by Fermi motion. The perturbative effects are incorporated at the
one-loop level and appear to be very moderate. Our treatment of Fermi
motion is based directly on QCD, being encoded in the universal distri
bution function F(x). The decay distributions in the charged lepton en
ergy, invariant mass of hadrons, hadron energy, and q(2) are given. We
note that typically about 90% of all decay events are expected to hav
e M-X < M-D; this feature can be exploited in the determination of \V-
ub\. (C) 1998 Published by Elsevier Science B.V.