The 18-year-old "High School Musical" star was slated to appear on the show Thursday, however, producers have confirmed that she backed out and plans to reschedule her visit.
No reason was given and the actress' representative did not respond to a request for comment, People said.
Hudgens recently apologized to fans for naked pictures of her that made the rounds on the Internet without her permission last week.
She has admitted she is "embarrassed over this situation."
However, the head of a clothing line for which she is a spokeswoman and model has publicly defended her.
"More power to her," Marc Ecko, founder and chief creative officer of Marc Ecko Enterprises, told the magazine. "She made a mistake and has apologized for it. I'm just glad no one's leaked the pictures of me in all of my naked glory."
Earlier this summer, comedian Rob Schneider dressed in drag and took Lindsay Lohan’s place on the "Tonight Show" after Lohan bowed out of an appearance following a DUI arrest.