The charity has approached a selection of agencies regarding the business, and is holding chemistry meetings with interested parties later this week.
The successful agency will be responsible for handling all of the charity's marketing activity, which predominantly consists of DRTV, print and direct marketing work.
Meteorite has been the incumbent on the business since 2007. However, it will not be repitching.
During its time on the account, Meteorite created a number of award-winning DRTV campaigns.
One ad, "would you?", featured a baby being fed with dirty water to highlight that more than one billion people worldwide don't have access to clean water. Another spot, "which is it to be?", saw a baby in the womb questioning whether it would be born into a life of comfort or poverty.
Its most recent work for the charity aimed to encourage more people to sign up to the World Vision Child Sponsorship initiative, by highlighting the stories of three African children as they suffered from the effects of disease and war.
In October last year, World Vision promoted Matthew Neville, its head of supporter development, to director of marketing and fundraising.
Media planning and buying for World Vision is handled by Zed Media. The agency's relationship with the charity is unaffected by the pitch process.