Curry, 67, reportedly suffered the stroke on Thursday night in his Los Angeles home.
"Tim is doing great," his longtime agent, Marcia Hurwitz, told the newspaper. Hurwitz denied reports that her client was having difficulty speaking after the incident — a common side effect of a stroke. "He absolutely can speak and is recovering at this time and in great humor," she said.
Curry, most recognizable for his role as Dr. Frank-N-Furter in the 1975 film, is also known for his roles in Annie, Charlie's Angels and the cult classic Clue. He most recently lent his voice to episodes of Star Wars: The Clone Wars and Randy Cunningham: 9th Grade Ninja.