A QCD relativistic potential model is employed to compute the decay ra
te and the photon spectrum of the process B- --> <mu(-)(nu)over bar (m
u)gamma>. The result B(B- --> <mu(-)(nu)over bar (mu)gamma> similar or
equal to 1 x 10(-6) confirms the enhancement of this decay channel wi
th respect to the purely leptonic mode, and supports the proposal of u
sing this process to access relevant hadronic quantities such as the B
-meson leptonic decay constant and the CKM matrix element V-ub.