George C. Wolfe would direct the production of Marsha Norman's two-hander during the 2015-16 season, the newspaper said.
"Oprah has had a longstanding desire to act on Broadway," producer Scott Sanders told the Times. "She understands how unique and challenging performing live on stage will be as an actress. She and I have been looking at a number of plays and roles in order to find material and a character that truly resonate with her. We've recently read something that we're both excited about but are not yet ready to officially announce the specifics."
Playbill.com said the drama -- about a mother trying to prevent her daughter from committing suicide -- opened on Broadway in March 1983 with Kathy Bathes and Anne Pitoniak. Edie Falco and Brenda Blethyn starred in a 2004 revival.
Winfrey was most recently seen in the critically acclaimed blockbuster film, "Lee Daniels' The Butler."