Processes of storing sorted and unsorted spermatozoa, in the form of a sperm dispersion, having reduced motility relative to endogenous ejaculated sperm are disclosed. The immotile spermatozoa of the dispersion tend to have a greater capacity for enduring the rigors associated with storage, transportation, and fertilization procedures. Processes for providing such sperm dispersions, for inseminating a female mammal with such sperm dispersions, as well as compositions and combinations comprising the sperm dispersions, are also disclosed.