I don't believe so. Tell him what? The le refers to a previous statement, for example: Le chef ne va pas lui donner la promotion. → "The boss is not going to promote him." Dis-le-lui .... → "Tell him (about it) ... "
you are right... but in this case, we can say : "dis-lui tout de suite ou je lui dis" (if every one knows about what we are speaking). IMHO this sentence is for learning (?) to use "le" and "lui" in the same sentence.