We calculate the transition form factor for the B-c --> B-u*gamma decay tak
ing into account only the short distance contribution, in framework of QCD
sum rules method. We observe that the transition form factor predicted by t
he QCD sum rules method is approximately two times larger compared to the r
esult predicted by the Isgur, Scora, Grinstein and Wise model. (C) 2000 Els
evier Science B.V. All rights reserved.