With Aladdin set for a Broadway premiere this February and The Hunchback of Notre Dame long in the works, Disney is looking further ahead to another candidate to bring from the screen to the stage: Frozen.

Disney Theatrical Productions has confirmed to EW that Frozen is in early development for the stage. Disney CEO and chairman Bob Iger dropped the hint to Fortune that discussions have begun to develop the wintry 2013 musical—which is breaking box office records and inspiring all kinds of ebullient fan reactions—into a full-fledged theater production, though he did not specify whether the show would be built for Broadway or as one of the many theatrical attractions at Disney’s parks (where things like Aladdin: A Musical Spectaular and Finding Nemo – The Musical have wound up).

“We’re not demanding speed,” Iger told Fortune in regards to a time frame for the show. “We’re demanding excellence.”

Among Frozen’s promising stage merits are a winning score by Book of Mormon and Avenue Q co-creator Robert Lopez, as well as a voice cast that includes bona fide Broadway singers Idina Menzel (Wicked), Jonathan Groff (Spring Awakening), Josh Gad (The Book of Mormon) and Santino Fontana (Cinderella).

This news piggybacks off another recently rumored Frozen expansion, one that would reportedly involve the development of a theme park attraction at Disney’s EPCOT Center (Disney has not confirmed these plans).