Former Barcelona technical director Txiki Begiristain is the new favourite to land the same post at Tottenham after Franco Baldini ruled himself out of the running.
Spurs are currently reviewing their player recruitment structure and Baldini, who has a good relationship with manager Andre Villas-Boas, was believed to be set for a return to English football, following his spell as Fabio Capello's right-hand man with England.
But despite being heavily linked with a move to White Hart Lane, Baldini, currently the general manager at Roma, has committed his future to the Italian club.
"I have nothing to say on this matter as I have an obligation over here with Roma, it is a long project to which I am committed," he told ESPN.
Baldini's decision opens the door for Begiristain, who left the Nou Camp in 2010 after a successful seven-year spell. Spurs confirmed to ESPN that they are seeking to bring in a 'recruitment specialist' to work with Levy, Villas-Boas and the scouting team.
A Spurs insider said: "We are reviewing our recruitment department and it would be wrong to assume anything as we are still in a review process."
Villas-Boas, who has worked with technical directors in the past, has revealed he would be comfortable with the introduction of the role at Tottenham.
"The chairman is looking to further evolve in terms of the structure that surrounds the club," he said. "I have worked with one at Porto and Academica and had no issues with that and I certainly promote that.
"In the end the structure that surrounds the football club is down to the chairman. It is not up to me to decide, it's up to the chairman. There are discussions and talks but in the end it is a club decision. I certainly think he is looking to further evolve in terms of the structure that surrounds the club."