Bostic was born in Atlanta, Georgia, to John Bostic and Jacqueline Bostic. His father was a defensive back for the Detroit Lions from 1985 to 1987. After his father retired from the NFL, he gained his Doctor of Philosophy in pharmacy, and eventually relocated his family to Wellington, Florida.
Bostic attended Palm Beach Central High School in Wellington, where he played for the Palm Beach Central Broncos high school football team
He played college football for the University of Florida. He was drafted by the Chicago Bears in the second round of the 2013 NFL Draft. Bostic has two younger siblings: Jayla Bostic, who is a successful track athlete at the University of Florida, and Justin Bostic.
Bostic accepted an athletic scholarship to attend the University of Florida, where he played for coach Urban Meyer and coach Will Muschamp"s Florida Gators football teams from 2009 to 2012.
During his college career he started 32 of 51 games in which he played, recording 237 tackles, 7.5 quarterback sacks and five interceptions. Following his senior season in 2012, he was a second-team All-Southeastern Conference (Securities and Exchange Commission) selection.
Bostic graduated from the University of Florida with a Bachelor of Science degree in Health, Education and Behavior in 2012. 2013 NFL Draft
In the second round of the 2013 NFL Draft, Bostic was selected by the Chicago Bears with the 50th pick overall.
On May 9, Bostic and the Bears agreed to a four-year deal, making him the fifth Bears draftee to sign.
Chicago Bears
In the second preseason game against the San Diego Chargers, Bostic recorded a hit on Chargers receiver Mike Willie, which the league eventually fined him $21,000 for lowering his head while hitting a defenseless receiver. In week eleven against the Baltimore Ravens, Bostic recorded his first career interception, the first Bears rookie linebacker to do so since Lance Briggs in 2003. Bostic ended the 2013 season recording 57 tackles, two sacks and one interception.
New England Patriots
On September 28, 2015, the Bears traded Bostic to the New England Patriots, receiving a sixth-round pick in exchange.
