Judge Carlos Samour Jr. replied in a court order that he will give the defense team an opportunity to show “good cause” to change the plea during a hearing on May 13.
Holmes faces charges in the July 20, 2012, shooting spree that took the lives of 12 people and wounded dozens more at the premiere in Aurora of the Batman movie “The Dark Knight Rises.”
Federal agents have said the 25-year-old former University of Colorado doctoral student planned the attack for months.
His trial is scheduled to begin in February. It is expected to last about four months.
Holmes had offered to plead guilty and spend the rest of his life behind bars if authorities would spare his life, but prosecutors in Arapahoe County announced a month ago they would seek the death penalty.
Previously, a judge entered a standard plea of not guilty for Holmes.