In the framework of the heavy-quark effective theory, the O(LAMBDABAR/m(c)) (LAMBDABAR congruent-to O(LAMBDA(QCD))) corrections are estimated in the test of factorization hypothesis for B-meson nonleptonic decays proposed by Bjorken. Similar calculations are also carried out for LAMBDA(b) nonleptonic decays. The effects of these corrections on the estimate of the D(s)-meson decay constant are discussed.