Ross, 42, worked as an ESPN baseball analyst and special assistant to baseball operations for the Cubs since retiring in 2016 after winning the World Series with Chicago. He has no managing experience but played in the majors for 15 years.
The official announcement is expected to come this week, and Ross' agent has been discussing contractual terms with Cubs president of baseball operations Theo Epstein, according to David Kaplan of ESPN.
In the meantime, other contenders for the opening have been told they are out, according to Heyman.
Houston Astros bench coach Joe Espada reportedly was the other finalist for the Cubs' managerial position. He has also drawn interest from the San Francisco Giants and Pittsburgh Pirates, according to Ken Rosenthal of The Athletic.
Chicago has been looking for a new manager since parting ways with Joe Maddon at the end of September.
The Cubs (84-78) finished third in the National League Central this past campaign and missed the postseason for the first time since 2014.
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