The International Cricket Council (ICC) will lead a delegation to Kenya to gauge if it is safe to play World Cup matches there.
The Black Caps are scheduled to play in Nairobi on February 21 and New Zealand Cricket chief executive Martin Snedden has said he wanted a security report from
the ICC despite assurances from Kenyan authorities.
Snedden said safety concerns could not be ignored, and the process could involve "sending someone over there".
A delegation lead by ICC chief executive Malcolm Speed will arrive in the African country early next week.
Sri Lanka will also play match to be held in Kenya, and manager Ajit Jayasekara has said his team are concerned because of recent terrorist attacks in the port city of Mombasa.
Last November, a suicide bomber attacked a hotel killing 13 people and a missile was fired at an Israeli airliner.
South Africa and Zimbabwe are to host most of the World Cup's 54 matches in February and March, with nearly $4 million to be spent on security.
The ICC is satisfied Zimbabwe is safe for matches, despite political violence and a 27-year-old Australian tourist being stabbed to death on Saturday at Victoria Falls.
The New Zealand Government has requested Zimbabwe matches be played elsewhere, although the Black Caps have no fixtures there.
The Government has strengthened a travel advisory to New Zealanders to avoid all but essential travel to Zimbabwe.
Last May, the Black Caps cut short a tour of Pakistan after a terrorist bomb near their hotel killed 14 people.
- NZPA