Kelly has been with the Bears since 2015 after arriving as the team's pro scouting director. He was promoted to assistant director of player personnel a year later, a position he has since held.
In his role, Kelly oversees the collaborative efforts of scouting at the college and pro personnel levels. He joined the Bears after previously working eight seasons in the Broncos organization.
The Jets have confirmed four interviews for the position of general manager, also meeting with Eagles vice president of player personnel Joe Douglas, Saints director of pro scouting Terry Fontenot and Seahawks co-director of player personnel Scott Fitterer.
Kelly overlapped with Jets coach Adam Gase during the 2015 season with the Bears. Hired by the Jets in January, Gase is considered a key voice in New York's hiring process. Gase also worked with Douglas in 2015 with Chicago.
It isn't known whether the Jets will hold interviews with additional candidates.