The team has a 21-day window for Bouye to practice with the team before needing to make a decision on adding him to the active roster.
Bouye, 29, wound up signing on with the Texans as an undrafted free agent out of UCF back in 2013. He returned to the Texans on a one-year, $1.671 million restricted contract in 2016.
Bouye later departed for a five-year, $67.5 million with the Jaguars. However, Jacksonville opted to trade him to the Broncos in March.
Bouye stands to make base salaries of $13 million over the final two years of the agreement.
In 2019, Bouye appeared in 14 games for the Jaguars and recorded 65 tackles, one interception and eight passes defended. Pro Football Focus had him rated as the No. 75 receiver out of 113 qualifying players.