The level of more immature CD3+CD8-TCRγδ+ cells was increased after vaccination in individuals from CLL and CML cohorts, whereas in individuals with MM the subpopulation of CD3+CD8+TCRγδ+ cells was not only increased in comparison with healthy donors, but it also showed a significant enhancement in the expression of degranulation markers after one dose of vaccine. This evidence concerns the gene CD8A and chronic myelogenous leukemia, BCR-ABL1 positive.