Jets officials, including owner Woody Johnson and general manager Mike Tannenbaum, will speak with Ryan in Baltimore, a person familiar with the search, who requested anonymity because the individual wasn't authorized to discuss the search to replace the fired Eric Mangini, told The Associated Press.
Ryan's stock has steadily risen with the Ravens' postseason success. His defense forced three turnovers in Baltimore's 13-10 victory at Tennessee on Saturday. The Ravens will play at either Pittsburgh or San Diego next week for the right to go to the Super Bowl.
Ryan, 46, is in his fourth season leading the Ravens' defense and is also serving this season as assistant head coach to John Harbaugh. He's the son of former NFL coach Buddy Ryan and is the twin brother of Oakland defensive coordinator Rob Ryan.
Rex Ryan was a candidate for the Ravens job after Brian Billick was fired last season and also interviewed for the vacant Miami and Atlanta jobs at the time.
Ryan will be the seventh known candidate interviewed by the Jets, following Jets assistants Brian Schottenheimer and Bill Callahan, New York Giants defensive coordinator Steve Spagnuolo, fired Boston College coach Jeff Jagodzinski, Arizona Cardinals offensive line coach/assistant head coach Russ Grimm and Indianapolis defensive coordinator Ron Meeks.
No other interviews were scheduled for next week as of Saturday night.
Schottenheimer, Spagnuolo and Ryan are considered the top three candidates for the Jets job, a source told Mortensen.
The Jets spoke with Meeks on Friday at the team's practice facility in Florham Park, N.J. Meeks, 54, has been in charge of the Colts' defense for the last seven seasons and was a candidate for the Washington job last offseason that went to Jim Zorn.
He was the first minority candidate to speak with New York, putting the Jets in compliance with the NFL's Rooney Rule.
Information from The Associated Press was used in this report.