Jordaan spoke to the media at a press conference this morning, addressing concerns of safety and security following events in Angola.
Following the attack on the Togo team bus in Cabinda, Angola, many people have been quick to associate the two countries, worrying that a similar situation could occur in South Africa.
"We have hosted 147 major events in this country since 1994, and the things you are raising have never happened here," said Jordaan.
"So the reasons for you raising this have no basis in reality. If there is something with a factual basis, raise it with us and we will address it. If we allow you to go on on a purely speculative basis, the possibilities are endless."
Jordaan gave further examples proving that South Africa should not be compared to Angola, as many sports teams frequent the country and no incidents arise.
"If you want to know the impact of Angola on South Africa, go to the England Cricket team, who are here. They have not raised any security issues. The Korean team are in South Africa and tonight they are playing a warm-up match in preparation for the World Cup. Japan were here and they were very happy."
In reference to the Cabinda separatist attack on the Togo team, Jordaan added: "There is no separatist movement in South Africa. Draw up a list of the world's terrorist risks and see if South Africa is on the list."
The Sergeant General of the South African National Defence Force, Veejay Ramlakan was also present at SAFA House, and he gave assurances to the gathered media that everything possible was being done to ensure a safe World Cup in South Africa.
"We in South Africa have been working non-stop for the last four years, planning for the best World Cup ever. We have benchmarked ourselves against Japan, Korea and Germany and I can say our level of readiness is higher.
"For every event we can think of we have devised scenarios and responses, we are ready for any eventuality."
The country has been preparing for the event for many years, with safety and security at the top of their list of priorities, and the successes of the Confederations Cup and the World Cup finals draw point towards a system that is working well thus far.
Peter Pedroncelli, Goal.com