Perry, 41, has starred in the TV shows "Friends," "Studio 60 on the Sunset Strip" and "Mr. Sunshine."
"I'm making plans to go away for a month to focus on my sobriety and to continue my life in recovery. Please enjoy making fun of me on the World Wide Web," Perry said in a statement issued to TMZ.
The celebrity news Web site said Perry has not suffered a relapse, but is planning this as a proactive measure.