What are the causes for a low neutrophil count and a high lymphocyte count?

Higher-than-normal T-cell levels may be due to: * Acute lymphocytic leukemia * Infectious mononucleosis * Multiple myeloma Lower than normal levels of Neutrophils can be caused by a failure of the bone marrow to make enough neutrophils. It may also occur when white blood cells are destroyed faster than they can be produced.