Lythgoe says in an interview posted on People magazine's Web site: "You do not take somebody in that room that you believe is a danger to herself or a danger to Paula. That would not enter our heads."
Abdul, one of the "Idol" judges, claimed during an interview with Barbara Walters on her Sirius XM radio show that producers knew Paula Goodspeed had stalked her, and allowed her to audition anyway.
Goodspeed was found dead of an apparent suicide in a car near Abdul's Los Angeles home last month.
Lythgoe says he remembers Goodspeed as "a lovely girl" and "a great fan of Paula."