Cougars interim coach/defensive coordinator Todd Orlando said earlier this week that he and offensive coordinator Major Applewhite also will interview.
Kiffin's interview is scheduled for Sunday, a source said. Alabama plays Florida for the SEC title Saturday afternoon.
Alabama coach Nick Saban was asked Friday whether Kiffin was ready to be a head coach again. "Absolutely," Saban said.
Kiffin's scheduled interview was first reported by SB Nation.
Houston is looking to replace Tom Herman, who left for Texas after going 22-4 over two seasons.
"Les Miles has always recruited Texas and has friends in Houston," a source said. "It could be what Miles is looking for."
Briles, who was Houston's head coach from 2003 to 2007 before taking over at Baylor, is receiving "strong interest," a source said.
Oklahoma offensive coordinator Lincoln Riley also is a candidate at Houston, but it's unknown whether he will get an interview.
ESPN staff writer Adam Rittenberg contributed to this report.