On March 22, 2016, Brice attended Louisiana Tech's pro day and had an impressive performance after completing all of the combine drills. His vertical jump would've finished first among all defensive backs at the NFL Combine and his broad jump and bench press would've ranked second among defensive backs. Brice received a private workout for the Green Bay Packers the following week. At the conclusion of the pre-draft process, Brice was projected to go undrafted and was expected to be signed as an undrafted free agent. He was ranked as the 16th best strong safety prospect in the draft by DraftScout.com and was ranked the 44th best safety by Scouts Inc.
Green Bay Packers
2016
Brice went undrafted in the 2016 NFL Draft, but received undrafted free agent contract offers from the Green Bay Packers, Tampa Bay Buccaneers, and Jacksonville Jaguars. On May 1, 2016, the Green Bay Packers signed Brice to a three-year, $1.62 million contract that includes a signing bonus of $2,000 as an undrafted free agent. Throughout training camp, Brice competed for a roster spot as a backup safety against Marwin Evans, Jermaine Whitehead, and Chris Banjo. Head coach Mike McCarthy named him the third free safety on the Packers' depth chart to start the season, behind veterans Ha Ha Clinton-Dix and Chris Banjo. He made his professional regular season debut in the Green Bay Packers' season-opening 27–23 win at the Jacksonville Jaguars. On September 25, 2016, Brice made his first career tackle in the Packers' 34–27 victory against the Detroit Lion. He finished their Week 3 victory with two combined tackles. On October 31, 2016, the Packers released safety Chris Banjo. Brice subsequently became the primary backup free safety after Banjo's release. On November 13, 2016, he collected a season-high five combined tackles and a pass deflection during the Packer's 25–47 loss to the Tennessee Titans. 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. He finished his rookie season in 2016 with 26 combined tackles and a pass deflection in 16 games and one start. The Green Bay Packers finished first in the NFC North with a 10–6 record and earned a playoff berth in 2016. On January 8, 2017, Brice appeared in his first career playoff game and made one tackle in the Packers' 38–13 win against the New York Giants in the NFC Wildcard Game. 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. The Packers were eliminated from the playoffs after losing 44–21 at the Atlanta Falcons in the NFC Championship Game.
2017
Brice entered training camp as a backup safety and competed to retain the role against rookie Josh Jones. Head coach Mike McCarthy named Brice the primary backup strong safety, behind Morgan Burnett, to begin the regular season in 2017. On September 17, 2017, Brice recorded three solo tackles before exiting the Packers' 34–23 loss at the Atlanta Falcons due to a groin injury. His injury sidelined him for the Packers' Week 3 victory against the Cincinnati Bengals. 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. Brice sustained a sprained ankle during the game and was carted off the field in the second quarter. On October 27, 2017, he was fined $18,231 for a horse-collar tackle he made against the New Orleans Saints. On November 3, 2017, the Green Bay Packers officially placed Brice on injured reserve after he was unable to fully recover from ankle injury. Brice was initially diagnosed with a sprained ankle, but discovered he had actually torn his deltoid ligament in his ankle which required ankle reconstruction injury he successfully underwent in November. He finished the 2017 NFL season with 23 combined tackles, three pass deflections, and an interception in six games and three starts.
2018
On January 1, 2018, the Green Bay Packers announced their decision to fire defensive coordinatorDom Capers. On January 10, 2018, the Green Bay Packers announced their decision to hire former Cleveland Browns' head coach Mike Pettine as their new defensive coordinator. During training camp, Brice competed to be the starting strong safety against Josh Jones after it was left vacant by the departure of Morgan Burnett in free agency. Head coach Mike McCarthy named Brice and Ha Ha Clinton-Dix the starting safeties to begin the regular season in 2018. They started alongside cornerbacks Tramon Williams and Kevin King. He started in the Green Bay Packers' season-opener against the Chicago Bears and recorded nine combined tackles and made his first career sack on Bears' quarterback Mitchell Trubisky in the first quarter of their 24–23 victory. Brice appeared in 14 games and started 10 of them. On December 1, 2018, he was fined $26,739 for lowering his head to tackle Dalvin Cook, which led to him being injured. He finished the season with 50 tackles, a sack and two pass deflections. However, his 2018 season was a disappointment, as he missed 12 of his 57 total tackle attempts on the season and allowed a passer rating of 150.1 on 29 throws into his primary coverage. On February 28, 2019, Brice expressed interest in returning to the Packers and receiving a contract extension. However, on March 13, 2019, the Packers declined a tender for Brice, making him a unrestricted free agent.
Tampa Bay Buccaneers
On March 18, 2019, Brice signed a one-year deal with the Tampa Bay Buccaneers. On August 31, 2019, Brice was released by the Buccaneers.
Seattle Dragons
In October 2019, Brice was selected by the Seattle Dragons in the 2020 XFL Draft. He was released during mini-camp in December 2019.
Chicago Bears
On January 8, 2020, Brice signed a reserve/future contract with the Chicago Bears. He was waived on July 26.
