The suspected shooter, Jared Laughner, was arraigned in Phoenix on Monday after federal judges recused themselves from the case because a fellow judge died in the attack.
However, prosecutors and defense attorneys have made an agreement for the case to stay in Tucson so victims and witnesses would not have to drive there.
The agreement doesn't prevent future requests to move the trial.
Loughner pleaded not guilty to charges of trying to assassinate U.S. Congresswoman Gabrielle Giffords and killing two of her aides. He also faces federal charges in the deaths of an aide and the judge.
He likely faces state charges in the Jan. 8 rampage at a Giffords event that wounded 13 and killed six others, including a 9-year-old girl.
Loughner's next court was set for March 9.
The Associated Press contributed to this report.