The enumeration and analysis of residual white blood cells in a sample of leukocyte-reduced blood products is conducted by forming a suspension of the leukocyte-reduced blood products with a sufficient amount of a lysing reagent. The lysing reagent comprises a buffer with a low molar concentration, and a non-ionic surfactant. The suspension of leukocyte-reduced blood products and the lysing reagent is incubated for a sufficient time at a temperature sufficient to selectively lyse the platelets and red blood cells without damaging the white blood cells. The white blood cells of the lysed blood products are then contacted with a suitable dye to stain the white blood cells and the number of stained white blood cells is measured. The lysing reagent is free of harsh organic solvents which can damage the plastic components of automated clinical analyzers.