Brock was released by Jacksonville on Tuesday.
Brock (undisclosed) was placed on injured reserve Saturday, John Oehser of the Jaguars' official site reports.
The Jaguars signed Brock to a contract Sunday.
Brock recorded 13 tackles, two sacks and 3.5 tackles for loss across four games for the Titans in 2019.
Brock was claimed off waivers by the Titans on Tuesday, Paul Kuharsky of 104.5 The Zone Nashvillel reports.
The Cardinals waived Brock on Monday, Ian Rapoport of NFL Network reports.
Brock (hamstring) is not listed on Wednesday's injury reports, Darren Urban of the Cardinals' official site reports.
Brock (hamstring) is inactive for Sunday's Week 11 matchup versus the 49ers.
Coach Kliff Kingsbury said Friday that Brock (hamstring) is ruled out for Sunday's contest against the Buccaneers, Scott Bordow of The Athletic reports.
Brock (shoulder) isn't listed on the the final injury report ahead of Sunday's game against Atlanta, Darren Urban of the Cardinals' official site reports.