We propose a simple model to describe the semileptonic weak decays among he
avy baryons in the heavy quark limit in a unified way. The current matrix e
lements of the heavy baryons, with spin-0 light diquark, are evaluated to g
ive the omega-dependence of the form factors. The numerical values are also
calculated and the branching ratio for Lambda(b) --> Lambda(c)e<(nu)over b
ar>(e) is consequently obtained in the range (4.9 - 15.3)%.