Jackson, who assisted Blues head coach Tana Umaga for two years before Leon MacDonald replaced the latter late last year, has been shortlisted to replace Deon Davids at the Durban-based Kings.
The Kings are in the PRO14 competition which involves teams from South Africa, Wales, Scotland, Ireland and Italy.
Jackson, who is currently contracted to coach Samoa through to the World Cup in Japan later this year, assisted Umaga for two seasons.
South African newspaper Rapport has reported Jackson is the only remaining candidate on the shortlist for the Kings job.
