Ajmal Amir Kasab, the lone terrorist arrested during the siege, and Lashkar-e-Tayiba operatives Fahim Ansari and Sabahuddin Ahmed are being tried in connection with the attacks.
Nikam sought Judge Tahiliani's permission to keep the identities of six Federal Bureau of Investigation agents -- who are likely to depose during the trial -- a secret.
He told the judge that the FBI had requested him to maintain secrecy. Judge Tahiliani will announce his decision on the matter on Friday.
Three Americans were killed during the siege. Under US law, the FBI must investigate the unnatural deaths of American citizens around the world. The FBI officers are likely to provide information about the taped conversations between the terrorists and their handlers in Pakistan over Voice over Internet Protocol, VOIP, during the attacks.
When Judge Tahiliani asked Nikam if he wanted in-camera proceedings during the testimony of the FBI officers, the prosecutor replied in the negative.
Kasab's lawyer wants to quit, Nikam makes him stay on
Coverage: Attack on Mumbai
VOIP is new challenge to cyber cops
I am guilty: Kasab tells court
Please hang me for my crimes, Kasab tells court