Zap2it.com reports that the 71-year-old made the announcement on a segment of "FOX News Sunday with Chris Wallace," which is scheduled to air May 6.
"Yes, I have been thinking of retiring," Trebek tells Wallace. "But I'm torn because I enjoy doing the show so much. A lot of people have been telling me, 'Alex, you've got to go for at least 30. You've just done 28. Now at least do two more.' So that has a nice ring to it. Put in your 30. And go help people."
The New York Post reports that the Wallace interview is part of a behind-the-scenes look at "Jeopardy!" for the news program's "Power Player of the Week" segment.
Trebek began hosting the popular game show in 1984, taking over from original host Art Fleming. And he's hinted at retirement before telling Newsweek in a 2011 interview, "I don't want to do this forever."
Last year, "Jeopardy!" champs Ken Jennings and Brad Butler played a round with a computer named Watson, which beat the humans soundly. Let's hope that "Jeopardy!" producers don't have any plans to make Watson the new host.