James Woolsey came to Wales before 11 September as US intelligence experts began examining links between Iraq and global terrorism.
US officials have suspected that the man convicted in 1997 of the bomb attack, Ramzi Yousef, could have had strong links to Iraqi intelligence.
It is being claimed Yousef was a former electronics student at the Swansea Institute, under another name.
The World Trade Center bombing in 1993 left six people dead and 1,000 injured.
The second attack on the World Trade Center on 11 September 2001 killed thousands of people and destroyed the north and south towers.
Ramsi Yousef, 34, was convicted of the 1993 bombing together with Eyad Ishmoil, who was jailed as Yousef's accomplice.
Four other accomplices received prison sentences totalling 240 years.
Aliases
The World Trade Center bomber is understood to have used a number of aliases.
These included the name Abdul Kareem, who was a former HND student at Swansea Institute.
US security officials took the possible links seriously enough to send Mr Woolsey and the former CIA chief confirmed he had visited Swansea prior to 11 September.
The Criminal Intelligence Agency, which has responsibility for US national security, had ordered an investigation to the links with Wales.
But senior staff at the institute said they have long doubted the different aliases were the same individual and believe the real former student's identity may even have been stolen.
Yousef was jailed after a four-month trial, which took place amid tight security at Manhattan Federal Court.
The prosecution claimed Yousef built the bomb and planned the attack.
His solicitors argued he was the victim of over zealous federal agents eager for quick arrests.
But he already had convictions for bombing an airliner over the Far East in 1994 and of plotting to bomb a dozen American planes the following year.
Ishmoil was accused of parking the truck laden with explosives in the centre's underground car park.
He maintained throughout the trial he believed he was delivering cleaning supplies to the World Trade Center.