The two surviving rhinos, a mother and a daughter called Najin and Fatu, live under 24-hour armed guard at Ol Pejeta in central Kenya.
For genetic reasons they are, however, both unable to breed. Any embryos will be implanted into a surrogate southern white rhino in the near future.
The technique for the process has been developed over several years, experts say, but is not without risk.
It remains uncertain if the implanted embryos will result in pregnancy.
Last year, a team removed eggs from female southern rhinos and fertilised them with frozen sperm from a male northern white rhino, to create hybrid embryos.
Rhinos are the second-largest land mammal after elephants. The white rhinoceros consists of two sub-species – the southern white rhino and the much rarer and critically endangered northern white rhino.
Poaching is the primary threat facing all rhino species.
Loss of habitat is the other main threat and conservationists say governmental protection of parks and reserves is now essential.