Prime Minister Helen Clark has indicated that the SAS may be sent to help the American effort.
But she said it was not clear what their role would be.
British troops are reported to be preparing for a role in any American operation to capture bin Laden, using an elite force to snatch him from Afghanistan once his location has been pinpointed by allied satellite and ground intelligence networks.
The Daily Telegraph quoted British SAS sources as saying that New Zealand and Australian SAS could be drafted into the operation.
The New Zealanders are known to be expert trackers and are often called upon to train their international counterparts in this skill, a source said yesterday.
They have been trained in the ability to land behind enemy lines and survive undetected with the aid of a range of weapons and communications equipment such as small, portable satellite units.
Members learn how to skirt across borders, or drop into position by parachutes or from helicopters.
Should the SAS be deployed, it will be the biggest publicly known operation since the regiment headed the arrival of a multinational force in East Timor.
A small unit went to the Gulf in 1998 for potential combat rescue missions in Iraq, and three soldiers fought with the British SAS in the Gulf War.
One member of the regiment, Major John McNutt, was killed in March by a misdirected US bomb in Kuwait where he was part of a multinational taskforce monitoring the border.
Helen Clark has set up a committee of ministers with the power to decide at short notice the level of New Zealand involvement in any strike.
Map: Opposing forces in the war against terror
Pictures: Day 1 | Day 2
Brooklyn Bridge live webcam
Video
The fatal flights
Emergency telephone numbers for friends and family of victims and survivors
United Airlines
: 0168 1800 932 8555
American Airlines
: 0168 1800 245 0999
NZ Ministry of Foreign Affairs and Trade
: 0800 872 111
US Embassy in Wellington (recorded info): 04 472 2068
Victims and survivors
How to donate to firefighters' fund