The 1/m(c) and 1/m(b) corrections to the Lambda(b) --> Lambda(c) semil
eptonic decay are analyzed by QCD sum rules, Within the framework of h
eavy quark effective theory, the subleading baryonic Isgur-Wise functi
on of Lambda(b) --> Lambda(c) has been calculated. It is shown that th
e corrections due to the 1/m Lagrangian insertion are negligibly small
. The sizable 1/m(Q) effect to the decay lies only in the weak current
. The decay spectrum and the branching ratio are given.