The Titans signed Hogan to a reserve/future contract Monday, Jim Wyatt of the Titans' official site reports.
Hogan joined Tennessee's practice squad in November and was elevated to the active roster for the team's Week 13 matchup against New England. He played just seven offensive snaps during the blowout loss but now will remain with the team to begin the offseason. The 29-year-old could compete with Logan Woodside to serve as the No. 2 quarterback ahead of the 2022 campaign.