He played college football at Louisiana Tech and signed with the Green Bay Packers as an undrafted free agent in 2016.

[2] He has also been a member of the Tampa Bay Buccaneers, Seattle Dragons, Chicago Bears, Arizona Cardinals, Saskatchewan Roughriders, and DC Defenders.

[7][1][8] Throughout training camp, Brice competed for a roster spot as a backup safety against Marwin Evans, Jermaine Whitehead, and Chris Banjo.

In Week 17, Brice earned his first career start as an extra defensive back and recorded a season-high five solo tackles during a 31–24 win against the Detroit Lions.

The following week, Brice collected a season-high seven combined tackles and broke up a pass in a 34–31 victory at the Dallas Cowboys in the NFC Divisional Round.

[14] Brice entered training camp as a backup safety and competed to retain the role against rookie Josh Jones.

McCarthy named Brice the primary backup strong safety, behind Morgan Burnett, to begin the regular season in 2017.

[16] On September 17, 2017, Brice recorded three solo tackles before exiting the Packers' 34–23 loss at the Falcons due to a groin injury.

[17] On September 28, 2017, Brice recorded four combined tackles, broke up pass, and made his first career interception in the Packers' 35–14 win against the Chicago Bears in Week 4.

Brice made his first career interception off a pass attempt by Bears' quarterback Mike Glennon, that was originally intended for wide receiver Deonte Thompson, during the third quarter.

[22] On January 10, 2018, the Packers announced their decision to hire former Cleveland Browns head coach Mike Pettine as their new defensive coordinator.

[23] During training camp, Brice competed to be the starting strong safety against Jones after it was left vacant by the departure of Burnett in free agency.