The present invention relates to the field of cytomegalovirus (CMV) infection. In particular the present invention relates to highly specific immunotoxins useful in treating diseases related to CMV infection. CMV encodes chemokine receptors that undergo constitutive internalization. Thus CMV infected cells can be targeted specifically with immunotoxins with high affinity to CMV encoded constitutively internalizing receptors. This will ensure efficient uptake of the immunotoxin by the CMV infected cell, and thereby ensure the death of the infected cell with a minimum of unwanted toxicity and side effects. Furthermore, the invention relates to a way of inhibiting CMV replication and/or growth by using immunotoxins by targeting constitutively internalizing CMV encoded receptors.