Both Morocco and South Africa are sending delegations to the confederation's headquarters in search of an endorsement to strengthen their bid against rivals Brazil, England and Germany.
CAF press officer Viken Djizmedjian said: "We will hear from both countries and find out how they are progressing. But we will not make a choice."
"We have been stressing the point that the World Cup in 2006 should be going to Africa and we have written to the other confederations on the matter," Djizmedjian said.
CAF in January promised to endorse a single African candidate from the five African countries then in the running, but changed its stance when it realised it would be seen to be favouring one member over the others.
Egypt, Ghana and Nigeria have since pulled out of the bid process, with Nigeria last month backing the South African bid.
"The world cannot support Africa if it cannot lead," was the reaction of South Africa bid committee boss Danny Jordaan to the news.
"Now is the time for leadership in Africa," he said in a telephone interview from London.
REUTERS
