But late Sunday, Kubiak turned down coordinator interviews and told the Ravens' website he plans to remain with Baltimore.
Chicago also has an interest in Seattle defensive coordinator Dan Quinn for the open head-coaching position.
However, in an ideal world, the Bears would like to match an experienced head coach with newly appointed rookie general manager Ryan Pace.
Kubiak had said he wouldn't interview for any openings until the Ravens were eliminated from the postseason, which happened Saturday night when they lost their AFC divisional game to the Patriots 35-31.
He previously coached the Houston Texans from 2006 to 2013, a background that could be attractive to the Bears, who have only once hired a head coach with previous experience -- Paddy Driscoll in 1956.
Pace, 37, joined the Bears after working 14 seasons with the New Orleans Saints, spending the past 13 years as a member of the player personnel department. Pace worked two seasons for the Saints as director of player of personnel, leading the club in all facets of scouting and the evaluation of college and pro prospects.
ESPN.com's Michael C. Wright contributed to this report.