Tucker, 41, comes to the Windy City from Jacksonville where he held the same position and was considered a solid candidate of the many head coaching vacancies around the league that have been filled this month.
"I love him," Jaguars safety Chris Harris told the Chicago Tribune. "He's a fun coach to play for. He is a great communicator."
Tucker served as the Jaguars' interim head coach at the end of the 2011 season, going 2-3 after Jack Del Rio was fired.
The Tribune said Tucker had his hands full this season as Jacksonville hobbled to a 2-14 record, which the newspaper said was due in large part to personnel issues.